225745920 has 352 divisors, whose sum is σ = 848931840. Its totient is φ = 56770560.

The previous prime is 225745913. The next prime is 225745963. The reversal of 225745920 is 29547522.

It is a happy number.

It is a super-2 number, since 2×225745920² = 101922440793292800, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3179485 + ... + 3179555.

Almost surely, 2^225745920 is an apocalyptic number.

225745920 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 225745920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424465920).

225745920 is an abundant number, since it is smaller than the sum of its proper divisors (623185920).

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

225745920 is a wasteful number, since it uses less digits than its factorization.

225745920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 128 (or 104 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The square root of 225745920 is about 15024.8434268048. The cubic root of 225745920 is about 608.8915820491.

The spelling of 225745920 in words is "two hundred twenty-five million, seven hundred forty-five thousand, nine hundred twenty".