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230333003232 = 2536151390067
BaseRepresentation
bin1101011010000011101…
…0101011010111100000
3211000112022011220102120
43112200322223113200
512233210222100412
6253451415344240
722432603136523
oct3264072532740
9730468156376
10230333003232
1189757a80512
1238782082080
1318949698cb7
14b210850bba
155ed142ab8c
hex35a0eab5e0

230333003232 has 48 divisors (see below), whose sum is σ = 604723980672. Its totient is φ = 76764988800.

The previous prime is 230333003227. The next prime is 230333003233. The reversal of 230333003232 is 232300333032.

230333003232 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×2303330032323 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230333003233) 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 7 ways as a sum of consecutive naturals, for example, 395463 + ... + 785529.

It is an arithmetic number, because the mean of its divisors is an integer number (12598416264).

Almost surely, 2230333003232 is an apocalyptic number.

It is an amenable number.

230333003232 is an abundant number, since it is smaller than the sum of its proper divisors (374390977440).

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

230333003232 is a wasteful number, since it uses less digits than its factorization.

230333003232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 396231 (or 396223 counting only the distinct ones).

The product of its (nonzero) digits is 5832, while the sum is 24.

Adding to 230333003232 its reverse (232300333032), we get a palindrome (462633336264).

The spelling of 230333003232 in words is "two hundred thirty billion, three hundred thirty-three million, three thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 6151 12302 18453 24604 36906 49208 73812 98416 147624 196832 295248 390067 590496 780134 1170201 1560268 2340402 3120536 4680804 6241072 9361608 12482144 18723216 37446432 2399302117 4798604234 7197906351 9597208468 14395812702 19194416936 28791625404 38388833872 57583250808 76777667744 115166501616 230333003232