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225557415168 = 283293694551
BaseRepresentation
bin1101001000010001000…
…1010000010100000000
3210120012111001220011120
43102010101100110000
512143420144241133
6251341502112240
722203344252331
oct3220421202400
9716174056146
10225557415168
118772730a518
123786a87b680
1318368191047
14acba4c8288
155d02051ab3
hex3484450500

225557415168 has 36 divisors (see below), whose sum is σ = 600311664288. Its totient is φ = 75185804800.

The previous prime is 225557415143. The next prime is 225557415173. The reversal of 225557415168 is 861514755522.

It is a super-2 number, since 2×2255574151682 (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 225557415168.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 146846508 + ... + 146848043.

It is an arithmetic number, because the mean of its divisors is an integer number (16675324008).

Almost surely, 2225557415168 is an apocalyptic number.

It is an amenable number.

225557415168 is an abundant number, since it is smaller than the sum of its proper divisors (374754249120).

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

225557415168 is an equidigital number, since it uses as much as digits as its factorization.

225557415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 293694570 (or 293694556 counting only the distinct ones).

The product of its digits is 3360000, while the sum is 51.

The spelling of 225557415168 in words is "two hundred twenty-five billion, five hundred fifty-seven million, four hundred fifteen thousand, one hundred sixty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 256 384 768 293694551 587389102 881083653 1174778204 1762167306 2349556408 3524334612 4699112816 7048669224 9398225632 14097338448 18796451264 28194676896 37592902528 56389353792 75185805056 112778707584 225557415168