225937920 has 320 divisors, whose sum is σ = 813947904. Its totient is φ = 53084160.

The previous prime is 225937919. The next prime is 225937937. The reversal of 225937920 is 29739522.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3095004 + ... + 3095076.

Almost surely, 2^225937920 is an apocalyptic number.

225937920 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 225937920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (406973952).

225937920 is an abundant number, since it is smaller than the sum of its proper divisors (588009984).

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

225937920 is a wasteful number, since it uses less digits than its factorization.

225937920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 225937920 is about 15031.2314864751. The cubic root of 225937920 is about 609.0641566789.

The spelling of 225937920 in words is "two hundred twenty-five million, nine hundred thirty-seven thousand, nine hundred twenty".