225637400 has 48 divisors (see below), whose sum is σ = 542710800. Its totient is φ = 87140480.

The previous prime is 225637393. The next prime is 225637403. The reversal of 225637400 is 4736522.

225637400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225637403) 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, 13652 + ... + 25251.

It is an arithmetic number, because the mean of its divisors is an integer number (11306475).

Almost surely, 2^225637400 is an apocalyptic number.

225637400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225637400 is an abundant number, since it is smaller than the sum of its proper divisors (317073400).

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

225637400 is a wasteful number, since it uses less digits than its factorization.

225637400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38948 (or 38939 counting only the distinct ones).

The product of its (nonzero) digits is 10080, while the sum is 29.

The square root of 225637400 is about 15021.2316405813. The cubic root of 225637400 is about 608.7939981439.

The spelling of 225637400 in words is "two hundred twenty-five million, six hundred thirty-seven thousand, four hundred".