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230152355104 = 2571032199551
BaseRepresentation
bin1101011001011000100…
…1100011110100100000
3211000001201021000210011
43112112021203310200
512232323000330404
6253421443414304
722425250511560
oct3262611436440
9730051230704
10230152355104
1189675005941
1238731684394
131891b129109
14b1d4868da0
155ec0645604
hex3596263d20

230152355104 has 48 divisors (see below), whose sum is σ = 517898174976. Its totient is φ = 98626176000.

The previous prime is 230152355053. The next prime is 230152355107. The reversal of 230152355104 is 401553251032.

It is not an unprimeable number, because it can be changed into a prime (230152355107) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2262129 + ... + 2361679.

It is an arithmetic number, because the mean of its divisors is an integer number (10789545312).

Almost surely, 2230152355104 is an apocalyptic number.

It is an amenable number.

230152355104 is an abundant number, since it is smaller than the sum of its proper divisors (287745819872).

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

230152355104 is a wasteful number, since it uses less digits than its factorization.

230152355104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 109889 (or 109881 counting only the distinct ones).

The product of its (nonzero) digits is 18000, while the sum is 31.

The spelling of 230152355104 in words is "two hundred thirty billion, one hundred fifty-two million, three hundred fifty-five thousand, one hundred four".

Divisors: 1 2 4 7 8 14 16 28 32 56 112 224 10321 20642 41284 72247 82568 99551 144494 165136 199102 288988 330272 398204 577976 696857 796408 1155952 1393714 1592816 2311904 2787428 3185632 5574856 11149712 22299424 1027465871 2054931742 4109863484 7192261097 8219726968 14384522194 16439453936 28769044388 32878907872 57538088776 115076177552 230152355104