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230272375104 = 26321073736247
BaseRepresentation
bin1101011001110101001…
…1011001100101000000
3211000101002002200021100
43112131103121211000
512233044212000404
6253441412054400
722431235615242
oct3263523314500
9730332080240
10230272375104
1189726830722
1238765904400
1318939c5c175
14b20678c092
155ecae51d39
hex359d4d9940

230272375104 has 84 divisors (see below), whose sum is σ = 666202908384. Its totient is φ = 76040078592.

The previous prime is 230272375103. The next prime is 230272375111. The reversal of 230272375104 is 401573272032.

230272375104 is a `hidden beast` number, since 2 + 3 + 0 + 272 + 375 + 10 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230272375103) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1806492 + ... + 1929755.

Almost surely, 2230272375104 is an apocalyptic number.

230272375104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

230272375104 is an abundant number, since it is smaller than the sum of its proper divisors (435930533280).

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

230272375104 is a wasteful number, since it uses less digits than its factorization.

230272375104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3736372 (or 3736359 counting only the distinct ones).

The product of its (nonzero) digits is 70560, while the sum is 36.

The spelling of 230272375104 in words is "two hundred thirty billion, two hundred seventy-two million, three hundred seventy-five thousand, one hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 107 144 192 214 288 321 428 576 642 856 963 1284 1712 1926 2568 3424 3852 5136 6848 7704 10272 15408 20544 30816 61632 3736247 7472494 11208741 14944988 22417482 29889976 33626223 44834964 59779952 67252446 89669928 119559904 134504892 179339856 239119808 269009784 358679712 399778429 538019568 717359424 799556858 1076039136 1199335287 1599113716 2152078272 2398670574 3198227432 3598005861 4797341148 6396454864 7196011722 9594682296 12792909728 14392023444 19189364592 25585819456 28784046888 38378729184 57568093776 76757458368 115136187552 230272375104