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225056132 = 227174311097
BaseRepresentation
bin11010110101000…
…01010110000100
3120200111000222022
431122201112010
5430103244012
634155422312
75401642220
oct1532412604
9520430868
10225056132
11106047004
1263454998
133781ac12
1421c65780
1514b58472
hexd6a1584

225056132 has 48 divisors (see below), whose sum is σ = 478130688. Its totient is φ = 90485760.

The previous prime is 225056131. The next prime is 225056171. The reversal of 225056132 is 231650522.

It is not an unprimeable number, because it can be changed into a prime (225056131) 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, 204608 + ... + 205704.

It is an arithmetic number, because the mean of its divisors is an integer number (9961056).

Almost surely, 2225056132 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 225056132, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239065344).

225056132 is an abundant number, since it is smaller than the sum of its proper divisors (253074556).

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

225056132 is a wasteful number, since it uses less digits than its factorization.

225056132 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1556 (or 1554 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 26.

The square root of 225056132 is about 15001.8709499849. The cubic root of 225056132 is about 608.2707740426.

The spelling of 225056132 in words is "two hundred twenty-five million, fifty-six thousand, one hundred thirty-two".

Divisors: 1 2 4 7 14 17 28 34 68 119 238 431 476 862 1097 1724 2194 3017 4388 6034 7327 7679 12068 14654 15358 18649 29308 30716 37298 51289 74596 102578 130543 205156 261086 472807 522172 945614 1891228 3309649 6619298 8037719 13238596 16075438 32150876 56264033 112528066 225056132