225649536 has 128 divisors (see below), whose sum is σ = 691445760. Its totient is φ = 63866880.

The previous prime is 225649531. The next prime is 225649537. The reversal of 225649536 is 635946522.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (388800) is a multiple of the sum of its prime divisors (800).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225649531) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 341046 + ... + 341706.

It is an arithmetic number, because the mean of its divisors is an integer number (5401920).

Almost surely, 2^225649536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225649536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (345722880).

225649536 is an abundant number, since it is smaller than the sum of its proper divisors (465796224).

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

225649536 is a wasteful number, since it uses less digits than its factorization.

225649536 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 812 (or 800 counting only the distinct ones).

The product of its digits is 388800, while the sum is 42.

The square root of 225649536 is about 15021.6355966985. The cubic root of 225649536 is about 608.8049126930.

The spelling of 225649536 in words is "two hundred twenty-five million, six hundred forty-nine thousand, five hundred thirty-six".