225054720 has 416 divisors, whose sum is σ = 896423040. Its totient is φ = 53084160.

The previous prime is 225054719. The next prime is 225054737. The reversal of 225054720 is 27450522.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 6082542 + ... + 6082578.

Almost surely, 2^225054720 is an apocalyptic number.

225054720 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 225054720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (448211520).

225054720 is an abundant number, since it is smaller than the sum of its proper divisors (671368320).

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

225054720 is a wasteful number, since it uses less digits than its factorization.

225054720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 86 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 5600, while the sum is 27.

The square root of 225054720 is about 15001.8238891143. The cubic root of 225054720 is about 608.2695019450.

It can be divided in two parts, 22505 and 4720, that added together give a square (27225 = 165²).

The spelling of 225054720 in words is "two hundred twenty-five million, fifty-four thousand, seven hundred twenty".