225193920 has 448 divisors, whose sum is σ = 898891776. Its totient is φ = 46632960.

The previous prime is 225193907. The next prime is 225193921. The reversal of 225193920 is 29391522.

225193920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (448).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225193921) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4791337 + ... + 4791383.

Almost surely, 2^225193920 is an apocalyptic number.

225193920 is a gapful number since it is divisible by the number (20) 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 225193920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (449445888).

225193920 is an abundant number, since it is smaller than the sum of its proper divisors (673697856).

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

225193920 is a wasteful number, since it uses less digits than its factorization.

225193920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 118 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 225193920 is about 15006.4626078233. The cubic root of 225193920 is about 608.3948842873.

The spelling of 225193920 in words is "two hundred twenty-five million, one hundred ninety-three thousand, nine hundred twenty".