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225803937456 = 24321739064063
BaseRepresentation
bin1101001001001011110…
…1101010011010110000
3210120211122221112011200
43102102331222122300
512144421301444311
6251422150011200
722212426541236
oct3222275523260
9716748845150
10225803937456
1187843488349
1237919346b00
13183a7286816
14ad0113a956
155d189ea556
hex3492f6a6b0

225803937456 has 60 divisors (see below), whose sum is σ = 635590295808. Its totient is φ = 74832895872.

The previous prime is 225803937413. The next prime is 225803937487. The reversal of 225803937456 is 654739308522.

225803937456 is a `hidden beast` number, since 2 + 2 + 580 + 3 + 9 + 3 + 7 + 4 + 56 = 666.

225803937456 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4507120 + ... + 4556943.

Almost surely, 2225803937456 is an apocalyptic number.

It is an amenable number.

225803937456 is an abundant number, since it is smaller than the sum of its proper divisors (409786358352).

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

225803937456 is a wasteful number, since it uses less digits than its factorization.

225803937456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9064250 (or 9064241 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 225803937456 in words is "two hundred twenty-five billion, eight hundred three million, nine hundred thirty-seven thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 72 144 173 346 519 692 1038 1384 1557 2076 2768 3114 4152 6228 8304 12456 24912 9064063 18128126 27192189 36256252 54384378 72512504 81576567 108768756 145025008 163153134 217537512 326306268 435075024 652612536 1305225072 1568082899 3136165798 4704248697 6272331596 9408497394 12544663192 14112746091 18816994788 25089326384 28225492182 37633989576 56450984364 75267979152 112901968728 225803937456