225129504 has 48 divisors (see below), whose sum is σ = 625732128. Its totient is φ = 70628352.

The previous prime is 225129503. The next prime is 225129517. The reversal of 225129504 is 405921522.

It is a tau number, because it is divible by the number of its divisors (48).

It is not an unprimeable number, because it can be changed into a prime (225129503) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 67342 + ... + 70605.

It is an arithmetic number, because the mean of its divisors is an integer number (13036086).

Almost surely, 2^225129504 is an apocalyptic number.

225129504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

225129504 is an abundant number, since it is smaller than the sum of its proper divisors (400602624).

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

225129504 is a wasteful number, since it uses less digits than its factorization.

225129504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 137977 (or 137969 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 225129504 is about 15004.3161790200. The cubic root of 225129504 is about 608.3368689522.

The spelling of 225129504 in words is "two hundred twenty-five million, one hundred twenty-nine thousand, five hundred four".