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225613770768 = 24331274112237
BaseRepresentation
bin1101001000011110100…
…0001111000000010000
3210120100102010001112000
43102013220033000100
512144024111131033
6251351234034000
722204630260351
oct3220750170020
9716312101460
10225613770768
11877561012a1
1237885718900
1318376a63259
14acc3b97d28
155d06e84a13
hex3487a0f010

225613770768 has 80 divisors (see below), whose sum is σ = 652694415360. Its totient is φ = 74612409984.

The previous prime is 225613770749. The next prime is 225613770787. The reversal of 225613770768 is 867077316522.

It is a happy number.

225613770768 is a `hidden beast` number, since 2 + 2 + 561 + 3 + 7 + 7 + 0 + 76 + 8 = 666.

It is an interprime number because it is at equal distance from previous prime (225613770749) and next prime (225613770787).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2001255 + ... + 2110982.

It is an arithmetic number, because the mean of its divisors is an integer number (8158680192).

Almost surely, 2225613770768 is an apocalyptic number.

It is an amenable number.

225613770768 is an abundant number, since it is smaller than the sum of its proper divisors (427080644592).

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

225613770768 is a wasteful number, since it uses less digits than its factorization.

225613770768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4112381 (or 4112369 counting only the distinct ones).

The product of its (nonzero) digits is 5927040, while the sum is 54.

The spelling of 225613770768 in words is "two hundred twenty-five billion, six hundred thirteen million, seven hundred seventy thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 108 127 144 216 254 381 432 508 762 1016 1143 1524 2032 2286 3048 3429 4572 6096 6858 9144 13716 18288 27432 54864 4112237 8224474 12336711 16448948 24673422 32897896 37010133 49346844 65795792 74020266 98693688 111030399 148040532 197387376 222060798 296081064 444121596 522254099 592162128 888243192 1044508198 1566762297 1776486384 2089016396 3133524594 4178032792 4700286891 6267049188 8356065584 9400573782 12534098376 14100860673 18801147564 25068196752 28201721346 37602295128 56403442692 75204590256 112806885384 225613770768