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225915400 = 23521129577
BaseRepresentation
bin11010111011100…
…11001000001000
3120202002200200001
431131303020020
5430313243100
634230052344
75412151324
oct1535631010
9522080601
10225915400
11106583647
12637aa0b4
1337a5c069
142200a984
1514c77d6a
hexd773208

225915400 has 24 divisors (see below), whose sum is σ = 525253770. Its totient is φ = 90366080.

The previous prime is 225915367. The next prime is 225915409. The reversal of 225915400 is 4519522.

It can be written as a sum of positive squares in 3 ways, for example, as 137968516 + 87946884 = 11746^2 + 9378^2 .

It is not an unprimeable number, because it can be changed into a prime (225915409) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 564589 + ... + 564988.

Almost surely, 2225915400 is an apocalyptic number.

225915400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225915400 is an abundant number, since it is smaller than the sum of its proper divisors (299338370).

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

225915400 is a wasteful number, since it uses less digits than its factorization.

225915400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129593 (or 1129584 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 28.

The square root of 225915400 is about 15030.4823608559. The cubic root of 225915400 is about 609.0439201754.

The spelling of 225915400 in words is "two hundred twenty-five million, nine hundred fifteen thousand, four hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 1129577 2259154 4518308 5647885 9036616 11295770 22591540 28239425 45183080 56478850 112957700 225915400