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232953021028 = 2271317157239783
BaseRepresentation
bin1101100011110100010…
…1010000001001100100
3211021021220012121011201
43120331011100021210
512304041433133103
6255003411412244
722554536002420
oct3307505201144
9737256177151
10232953021028
118a8819a8682
12391935b4084
1318c7642a4a0
14b3bc7c3b80
1560d646251d
hex363d150264

232953021028 has 96 divisors (see below), whose sum is σ = 534645425664. Its totient is φ = 86183405568.

The previous prime is 232953021019. The next prime is 232953021029. The reversal of 232953021028 is 820120359232.

It is a super-2 number, since 2×2329530210282 (a number of 24 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (232953021029) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 851625 + ... + 1091407.

It is an arithmetic number, because the mean of its divisors is an integer number (5569223184).

Almost surely, 2232953021028 is an apocalyptic number.

232953021028 is a gapful number since it is divisible by the number (28) 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 232953021028, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267322712832).

232953021028 is an abundant number, since it is smaller than the sum of its proper divisors (301692404636).

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

232953021028 is a wasteful number, since it uses less digits than its factorization.

232953021028 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 239981 (or 239979 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 37.

The spelling of 232953021028 in words is "two hundred thirty-two billion, nine hundred fifty-three million, twenty-one thousand, twenty-eight".

Divisors: 1 2 4 7 13 14 17 26 28 34 52 68 91 119 157 182 221 238 314 364 442 476 628 884 1099 1547 2041 2198 2669 3094 4082 4396 5338 6188 8164 10676 14287 18683 28574 34697 37366 57148 69394 74732 138788 239783 242879 479566 485758 959132 971516 1678481 3117179 3356962 4076311 6234358 6713924 8152622 12468716 16305244 21820253 28534177 37645931 43640506 52992043 57068354 75291862 87281012 105984086 114136708 150583724 211968172 263521517 370944301 489397103 527043034 639980827 741888602 978794206 1054086068 1279961654 1483777204 1957588412 2559923308 3425779721 4479865789 6851559442 8319750751 8959731578 13703118884 16639501502 17919463156 33279003004 58238255257 116476510514 232953021028