225469332 has 120 divisors (see below), whose sum is σ = 659115072. Its totient is φ = 66614400.

The previous prime is 225469331. The next prime is 225469337. The reversal of 225469332 is 233964522.

It is a happy number.

225469332 is a `hidden beast` number, since 22 + 546 + 93 + 3 + 2 = 666.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225469331) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 145353 + ... + 146895.

Almost surely, 2^225469332 is an apocalyptic number.

225469332 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225469332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329557536).

225469332 is an abundant number, since it is smaller than the sum of its proper divisors (433645740).

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

225469332 is a wasteful number, since it uses less digits than its factorization.

225469332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1611 (or 1600 counting only the distinct ones).

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

The square root of 225469332 is about 15015.6362502559. The cubic root of 225469332 is about 608.6428054123.

It can be divided in two parts, 22546 and 9332, that added together give a triangular number (31878 = T₂₅₂).

The spelling of 225469332 in words is "two hundred twenty-five million, four hundred sixty-nine thousand, three hundred thirty-two".