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228175652656 = 2477333782813
BaseRepresentation
bin1101010010000001010…
…1000010011100110000
3210210221221202010210101
43110200111002130300
512214300431341111
6252453352042144
722325256021640
oct3244025023460
9723857663711
10228175652656
1188850231056
123827b693354
131869474b0b3
14b088116520
155e06d35bc1
hex3520542730

228175652656 has 80 divisors (see below), whose sum is σ = 513693254464. Its totient is φ = 96162619392.

The previous prime is 228175652611. The next prime is 228175652657. The reversal of 228175652656 is 656256571822.

It is a junction number, because it is equal to n+sod(n) for n = 228175652597 and 228175652606.

It is not an unprimeable number, because it can be changed into a prime (228175652657) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2713906 + ... + 2796718.

Almost surely, 2228175652656 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 228175652656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256846627232).

228175652656 is an abundant number, since it is smaller than the sum of its proper divisors (285517601808).

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

228175652656 is a wasteful number, since it uses less digits than its factorization.

228175652656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83238 (or 83232 counting only the distinct ones).

The product of its digits is 12096000, while the sum is 55.

The spelling of 228175652656 in words is "two hundred twenty-eight billion, one hundred seventy-five million, six hundred fifty-two thousand, six hundred fifty-six".

Divisors: 1 2 4 7 8 14 16 28 56 73 112 146 292 337 511 584 674 1022 1168 1348 2044 2359 2696 4088 4718 5392 8176 9436 18872 24601 37744 49202 82813 98404 165626 172207 196808 331252 344414 393616 579691 662504 688828 1159382 1325008 1377656 2318764 2755312 4637528 6045349 9275056 12090698 24181396 27907981 42317443 48362792 55815962 84634886 96725584 111631924 169269772 195355867 223263848 338539544 390711734 446527696 677079088 781423468 1562846936 2037282613 3125693872 4074565226 8149130452 14260978291 16298260904 28521956582 32596521808 57043913164 114087826328 228175652656