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225578016 = 2532783257
BaseRepresentation
bin11010111001000…
…00110000100000
3120201110112212100
431130200300200
5430221444031
634214530400
75406244566
oct1534406040
9521415770
10225578016
11106373114
1263666a00
1337971621
1421d5da36
1514c0cde6
hexd720c20

225578016 has 36 divisors (see below), whose sum is σ = 641488302. Its totient is φ = 75192576.

The previous prime is 225577991. The next prime is 225578033. The reversal of 225578016 is 610875522.

It is a happy number.

225578016 is a `hidden beast` number, since 22 + 557 + 80 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 218921616 + 6656400 = 14796^2 + 2580^2 .

It is a tau number, because it is divible by the number of its divisors (36).

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

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 391341 + ... + 391916.

Almost surely, 2225578016 is an apocalyptic number.

It is an amenable number.

225578016 is an abundant number, since it is smaller than the sum of its proper divisors (415910286).

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

225578016 is a wasteful number, since it uses less digits than its factorization.

225578016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 783273 (or 783262 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The square root of 225578016 is about 15019.2548417024. The cubic root of 225578016 is about 608.7405853160.

The spelling of 225578016 in words is "two hundred twenty-five million, five hundred seventy-eight thousand, sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 783257 1566514 2349771 3133028 4699542 6266056 7049313 9399084 12532112 14098626 18798168 25064224 28197252 37596336 56394504 75192672 112789008 225578016