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230581992672 = 25324289186671
BaseRepresentation
bin1101011010111111000…
…0011111110011100000
3211001011122200212201200
43112233300133303200
512234212442231142
6253532232201200
722442015412333
oct3265760376340
9731148625650
10230581992672
1189875583a09
1238831539200
1318989146725
14b23594661a
155ee821064c
hex35afc1fce0

230581992672 has 72 divisors (see below), whose sum is σ = 655873938720. Its totient is φ = 76842332160.

The previous prime is 230581992671. The next prime is 230581992691. The reversal of 230581992672 is 276299185032.

230581992672 is a `hidden beast` number, since 2 + 30 + 581 + 9 + 9 + 26 + 7 + 2 = 666.

230581992672 is digitally balanced in base 3, because in such base 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 (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230581992671) 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, 1141897 + ... + 1328567.

It is an arithmetic number, because the mean of its divisors is an integer number (9109360260).

Almost surely, 2230581992672 is an apocalyptic number.

It is an amenable number.

230581992672 is an abundant number, since it is smaller than the sum of its proper divisors (425291946048).

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

230581992672 is a wasteful number, since it uses less digits than its factorization.

230581992672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190976 (or 190965 counting only the distinct ones).

The product of its (nonzero) digits is 3265920, while the sum is 54.

The spelling of 230581992672 in words is "two hundred thirty billion, five hundred eighty-one million, nine hundred ninety-two thousand, six hundred seventy-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 4289 8578 12867 17156 25734 34312 38601 51468 68624 77202 102936 137248 154404 186671 205872 308808 373342 411744 560013 617616 746684 1120026 1235232 1493368 1680039 2240052 2986736 3360078 4480104 5973472 6720156 8960208 13440312 17920416 26880624 53761248 800631919 1601263838 2401895757 3202527676 4803791514 6405055352 7205687271 9607583028 12810110704 14411374542 19215166056 25620221408 28822749084 38430332112 57645498168 76860664224 115290996336 230581992672