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23231222213232 = 24311891633032917
BaseRepresentation
bin1010100100000111100001…
…01111110110101001110000
310001020212211211010020100010
411102003300233312221300
511021110020341310412
6121224135352054520
74615254225454515
oct522036057665160
9101225754106303
1023231222213232
117447340336920
122732449394440
13cc6905798c97
145a457bb1330c
152a446db0033c
hex1520f0bf6a70

23231222213232 has 160 divisors (see below), whose sum is σ = 66611614083840. Its totient is φ = 6917960079360.

The previous prime is 23231222213197. The next prime is 23231222213281.

It is a happy number.

23231222213232 is nontrivially palindromic in base 10.

It is a super-4 number, since 4×232312222132324 (a number of 55 digits) contains 4444 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 23231222213232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 6143238 + ... + 9176154.

It is an arithmetic number, because the mean of its divisors is an integer number (416322588024).

Almost surely, 223231222213232 is an apocalyptic number.

23231222213232 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23231222213232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33305807041920).

23231222213232 is an abundant number, since it is smaller than the sum of its proper divisors (43380391870608).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

23231222213232 is a wasteful number, since it uses less digits than its factorization.

23231222213232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3033191 (or 3033185 counting only the distinct ones).

The product of its digits is 20736, while the sum is 30.

It can be divided in two parts, 2323122 and 2213232, that added together give a palindrome (4536354).

The spelling of 23231222213232 in words is "twenty-three trillion, two hundred thirty-one billion, two hundred twenty-two million, two hundred thirteen thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 89 132 163 176 178 264 267 326 356 489 528 534 652 712 978 979 1068 1304 1424 1793 1956 1958 2136 2608 2937 3586 3912 3916 4272 5379 5874 7172 7824 7832 10758 11748 14344 14507 15664 21516 23496 28688 29014 43032 43521 46992 58028 86064 87042 116056 159577 174084 232112 319154 348168 478731 638308 696336 957462 1276616 1914924 2553232 3032917 3829848 6065834 7659696 9098751 12131668 18197502 24263336 33362087 36395004 48526672 66724174 72790008 100086261 133448348 145580016 200172522 266896696 269929613 400345044 494365471 533793392 539859226 800690088 809788839 988730942 1079718452 1483096413 1601380176 1619577678 1977461884 2159436904 2966192826 2969225743 3239155356 3954923768 4318873808 5438020181 5932385652 5938451486 6478310712 7909847536 8907677229 10876040362 11864771304 11876902972 12956621424 16314060543 17815354458 21752080724 23729542608 23753805944 32628121086 35630708916 43504161448 43998526919 47507611888 65256242172 71261417832 87008322896 87997053838 130512484344 131995580757 142522835664 175994107676 261024968688 263991161514 351988215352 483983796109 527982323028 703976430704 967967592218 1055964646056 1451951388327 1935935184436 2111929292112 2903902776654 3871870368872 5807805553308 7743740737744 11615611106616 23231222213232