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225876868 = 22725572069
BaseRepresentation
bin11010111011010…
…01101110000100
3120202000201210221
431131221232010
5430311024433
634225154124
75411631100
oct1535515604
9522021727
10225876868
111065576a8
126378b944
1337a47669
1421dda900
1514c6b72d
hexd769b84

225876868 has 36 divisors (see below), whose sum is σ = 460868940. Its totient is φ = 96583872.

The previous prime is 225876817. The next prime is 225876869. The reversal of 225876868 is 868678522.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 198753604 = 5208^2 + 14098^2 .

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (225876869) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 108138 + ... + 110206.

It is an arithmetic number, because the mean of its divisors is an integer number (12801915).

Almost surely, 2225876868 is an apocalyptic number.

225876868 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

225876868 is an abundant number, since it is smaller than the sum of its proper divisors (234992072).

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

225876868 is a wasteful number, since it uses less digits than its factorization.

225876868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2644 (or 2635 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 52.

The square root of 225876868 is about 15029.2005110052. The cubic root of 225876868 is about 609.0092921469.

The spelling of 225876868 in words is "two hundred twenty-five million, eight hundred seventy-six thousand, eight hundred sixty-eight".

Divisors: 1 2 4 7 14 28 49 98 196 557 1114 2069 2228 3899 4138 7798 8276 14483 15596 27293 28966 54586 57932 101381 109172 202762 405524 1152433 2304866 4609732 8067031 16134062 32268124 56469217 112938434 225876868