225436932 has 144 divisors (see below), whose sum is σ = 715478400. Its totient is φ = 60590592.

The previous prime is 225436891. The next prime is 225436933. The reversal of 225436932 is 239634522.

It is a happy number.

225436932 is a `hidden beast` number, since 22 + 543 + 6 + 93 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (225436933) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 114694 + ... + 116642.

It is an arithmetic number, because the mean of its divisors is an integer number (4968600).

Almost surely, 2^225436932 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 225436932, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357739200).

225436932 is an abundant number, since it is smaller than the sum of its proper divisors (490041468).

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

225436932 is a wasteful number, since it uses less digits than its factorization.

225436932 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1992 (or 1978 counting only the distinct ones).

The product of its digits is 77760, while the sum is 36.

The square root of 225436932 is about 15014.5573361322. The cubic root of 225436932 is about 608.6136499740.

The spelling of 225436932 in words is "two hundred twenty-five million, four hundred thirty-six thousand, nine hundred thirty-two".