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225057100 = 22523596269
BaseRepresentation
bin11010110101000…
…01100101001100
3120200111002022011
431122201211030
5430103311400
634155431004
75401645102
oct1532414514
9520432264
10225057100
11106047804
1263455464
133781b4a8
1421c65c72
1514b588ba
hexd6a194c

225057100 has 36 divisors (see below), whose sum is σ = 489812400. Its totient is φ = 89757760.

The previous prime is 225057097. The next prime is 225057113. The reversal of 225057100 is 1750522.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 32766 + ... + 39034.

It is an arithmetic number, because the mean of its divisors is an integer number (13605900).

Almost surely, 2225057100 is an apocalyptic number.

225057100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225057100 is an abundant number, since it is smaller than the sum of its proper divisors (264755300).

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

225057100 is a wasteful number, since it uses less digits than its factorization.

225057100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6642 (or 6635 counting only the distinct ones).

The product of its (nonzero) digits is 700, while the sum is 22.

The square root of 225057100 is about 15001.9032125927. The cubic root of 225057100 is about 608.2716461291.

The spelling of 225057100 in words is "two hundred twenty-five million, fifty-seven thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 100 359 718 1436 1795 3590 6269 7180 8975 12538 17950 25076 31345 35900 62690 125380 156725 313450 626900 2250571 4501142 9002284 11252855 22505710 45011420 56264275 112528550 225057100