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225058158 = 232136115767
BaseRepresentation
bin11010110101000…
…01110101101110
3120200111010202100
431122201311232
5430103330113
634155435530
75401651143
oct1532416556
9520433670
10225058158
11106048586
1263455ba6
133781bb10
1421c663ca
1514b58d73
hexd6a1d6e

225058158 has 48 divisors (see below), whose sum is σ = 533778336. Its totient is φ = 68109120.

The previous prime is 225058147. The next prime is 225058187. The reversal of 225058158 is 851850522.

225058158 is a `hidden beast` number, since 2 + 25 + 0 + 581 + 58 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6391 + ... + 22157.

It is an arithmetic number, because the mean of its divisors is an integer number (11120382).

Almost surely, 2225058158 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225058158, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266889168).

225058158 is an abundant number, since it is smaller than the sum of its proper divisors (308720178).

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

225058158 is a wasteful number, since it uses less digits than its factorization.

225058158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15849 (or 15846 counting only the distinct ones).

The product of its (nonzero) digits is 32000, while the sum is 36.

The square root of 225058158 is about 15001.9384747439. The cubic root of 225058158 is about 608.2725992952.

The spelling of 225058158 in words is "two hundred twenty-five million, fifty-eight thousand, one hundred fifty-eight".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1586 2379 4758 7137 14274 15767 31534 47301 94602 141903 204971 283806 409942 614913 961787 1229826 1844739 1923574 2885361 3689478 5770722 8656083 12503231 17312166 25006462 37509693 75019386 112529079 225058158