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230363764032 = 2632817016091
BaseRepresentation
bin1101011010001011000…
…0000001010101000000
3211000121110001201022110
43112202300001111000
512233241110422112
6253454434535320
722433425454253
oct3264260012500
9730543051273
10230363764032
1189773380566
1238790437540
1318952b7935c
14b21497b09a
155ed3ea513c
hex35a2c01540

230363764032 has 112 divisors (see below), whose sum is σ = 612646317504. Its totient is φ = 76392960000.

The previous prime is 230363764003. The next prime is 230363764039. The reversal of 230363764032 is 230467363032.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230363764039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37817307 + ... + 37823397.

Almost surely, 2230363764032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230363764032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (306323158752).

230363764032 is an abundant number, since it is smaller than the sum of its proper divisors (382282553472).

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

230363764032 is a wasteful number, since it uses less digits than its factorization.

230363764032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7088 (or 7078 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 39.

The spelling of 230363764032 in words is "two hundred thirty billion, three hundred sixty-three million, seven hundred sixty-four thousand, thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 281 562 701 843 1124 1402 1686 2103 2248 2804 3372 4206 4496 5608 6091 6744 8412 8992 11216 12182 13488 16824 17984 18273 22432 24364 26976 33648 36546 44864 48728 53952 67296 73092 97456 134592 146184 194912 196981 292368 389824 393962 584736 590943 787924 1169472 1181886 1575848 1711571 2363772 3151696 3423142 4269791 4727544 5134713 6303392 6846284 8539582 9455088 10269426 12606784 12809373 13692568 17079164 18910176 20538852 25618746 27385136 34158328 37820352 41077704 51237492 54770272 68316656 82155408 102474984 109540544 136633312 164310816 204949968 273266624 328621632 409899936 819799872 1199811271 2399622542 3599433813 4799245084 7198867626 9598490168 14397735252 19196980336 28795470504 38393960672 57590941008 76787921344 115181882016 230363764032