225658900 has 36 divisors (see below), whose sum is σ = 491023260. Its totient is φ = 90016000.

The previous prime is 225658847. The next prime is 225658903. The reversal of 225658900 is 9856522.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 478864 + 225180036 = 692^2 + 15006^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 225658900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225658903) 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, 36000 + ... + 41800.

It is an arithmetic number, because the mean of its divisors is an integer number (13639535).

Almost surely, 2^225658900 is an apocalyptic number.

225658900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225658900 is an abundant number, since it is smaller than the sum of its proper divisors (265364360).

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

225658900 is a wasteful number, since it uses less digits than its factorization.

225658900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6204 (or 6197 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 37.

The square root of 225658900 is about 15021.9472772341. The cubic root of 225658900 is about 608.8133339680.

The spelling of 225658900 in words is "two hundred twenty-five million, six hundred fifty-eight thousand, nine hundred".