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23210332002 = 23311134097349
BaseRepresentation
bin10101100111011100…
…011000111101100010
32012220120100000212000
4111213130120331202
5340013321111002
614355045544430
71451113365264
oct254734307542
965816300760
1023210332002
119930699a70
1245b9115116
13225b823180
1411a27ddb34
1590ca0a61c
hex567718f62

23210332002 has 128 divisors (see below), whose sum is σ = 60752160000. Its totient is φ = 6475645440.

The previous prime is 23210332001. The next prime is 23210332003. The reversal of 23210332002 is 20023301232.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (23210332001) and next prime (23210332003).

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

It is not an unprimeable number, because it can be changed into a prime (23210332001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3154624 + ... + 3161972.

It is an arithmetic number, because the mean of its divisors is an integer number (474626250).

Almost surely, 223210332002 is an apocalyptic number.

23210332002 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 23210332002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30376080000).

23210332002 is an abundant number, since it is smaller than the sum of its proper divisors (37541827998).

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

23210332002 is a wasteful number, since it uses less digits than its factorization.

23210332002 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7793 (or 7787 counting only the distinct ones).

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

Adding to 23210332002 its reverse (20023301232), we get a palindrome (43233633234).

The spelling of 23210332002 in words is "twenty-three billion, two hundred ten million, three hundred thirty-two thousand, two".

Divisors: 1 2 3 6 9 11 13 18 22 26 27 33 39 54 66 78 99 117 143 198 234 286 297 351 409 429 594 702 818 858 1227 1287 2454 2574 3681 3861 4499 5317 7349 7362 7722 8998 10634 11043 13497 14698 15951 22047 22086 26994 31902 40491 44094 47853 58487 66141 80839 80982 95537 95706 116974 121473 132282 143559 161678 175461 191074 198423 242517 242946 286611 287118 350922 396846 485034 526383 573222 727551 859833 1050907 1052766 1455102 1579149 1719666 2101814 2182653 2579499 3005741 3152721 3158298 4365306 5158998 6011482 6305442 9017223 9458163 18034446 18916326 27051669 28374489 33063151 39074633 54103338 56748978 66126302 78149266 81155007 99189453 117223899 162310014 198378906 234447798 297568359 351671697 429820963 595136718 703343394 859641926 892705077 1055015091 1289462889 1785410154 2110030182 2578925778 3868388667 7736777334 11605166001 23210332002