225227520 has 576 divisors, whose sum is σ = 981120000. Its totient is φ = 48771072.

The previous prime is 225227491. The next prime is 225227551. The reversal of 225227520 is 25722522.

It is a tau number, because it is divible by the number of its divisors (576).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 11854071 + ... + 11854089.

Almost surely, 2^225227520 is an apocalyptic number.

225227520 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 225227520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (490560000).

225227520 is an abundant number, since it is smaller than the sum of its proper divisors (755892480).

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

225227520 is an equidigital number, since it uses as much as digits as its factorization.

225227520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 36 counting only the distinct ones).

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

The square root of 225227520 is about 15007.5820837335. The cubic root of 225227520 is about 608.4251412491.

The spelling of 225227520 in words is "two hundred twenty-five million, two hundred twenty-seven thousand, five hundred twenty".