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10223223030 = 2345191016577
BaseRepresentation
bin10011000010101101…
…00000000011110110
3222101110210112120000
421201112200003312
5131414121114110
64410235052130
7511224650646
oct114126400366
928343715500
1010223223030
114376819859
121b938a1046
13c6c015bc7
146cda6c526
153ec7a31c0
hex2615a00f6

10223223030 has 160 divisors (see below), whose sum is σ = 29226843360. Its totient is φ = 2556748800.

The previous prime is 10223222923. The next prime is 10223223067. The reversal of 10223223030 is 3032232201.

It is a happy number.

It is a super-2 number, since 2×102232230302 (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 10223222994 and 10223223012.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1551102 + ... + 1557678.

It is an arithmetic number, because the mean of its divisors is an integer number (182667771).

Almost surely, 210223223030 is an apocalyptic number.

10223223030 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 10223223030, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14613421680).

10223223030 is an abundant number, since it is smaller than the sum of its proper divisors (19003620330).

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

10223223030 is a wasteful number, since it uses less digits than its factorization.

10223223030 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6716 (or 6707 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

Adding to 10223223030 its reverse (3032232201), we get a palindrome (13255455231).

The spelling of 10223223030 in words is "ten billion, two hundred twenty-three million, two hundred twenty-three thousand, thirty".

Divisors: 1 2 3 5 6 9 10 15 18 19 27 30 38 45 54 57 81 90 95 101 114 135 162 171 190 202 270 285 303 342 405 505 513 570 606 810 855 909 1010 1026 1515 1539 1710 1818 1919 2565 2727 3030 3078 3838 4545 5130 5454 5757 6577 7695 8181 9090 9595 11514 13154 13635 15390 16362 17271 19190 19731 27270 28785 32885 34542 39462 40905 51813 57570 59193 65770 81810 86355 98655 103626 118386 124963 155439 172710 177579 197310 249926 259065 295965 310878 355158 374889 518130 532737 591930 624815 664277 749778 777195 887895 1065474 1124667 1249630 1328554 1554390 1775790 1874445 1992831 2249334 2663685 3321385 3374001 3748890 3985662 5327370 5623335 5978493 6642770 6748002 9964155 10122003 11246670 11956986 12621263 16870005 17935479 19928310 20244006 25242526 29892465 33740010 35870958 37863789 50610015 53806437 59784930 63106315 75727578 89677395 101220030 107612874 113591367 126212630 179354790 189318945 227182734 269032185 340774101 378637890 538064370 567956835 681548202 1022322303 1135913670 1703870505 2044644606 3407741010 5111611515 10223223030