225515700 has 216 divisors, whose sum is σ = 747452160. Its totient is φ = 56793600.

The previous prime is 225515699. The next prime is 225515711. The reversal of 225515700 is 7515522.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1646032 + ... + 1646168.

Almost surely, 2^225515700 is an apocalyptic number.

225515700 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 225515700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373726080).

225515700 is an abundant number, since it is smaller than the sum of its proper divisors (521936460).

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

225515700 is a wasteful number, since it uses less digits than its factorization.

225515700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 247 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 3500, while the sum is 27.

The square root of 225515700 is about 15017.1801614018. The cubic root of 225515700 is about 608.6845252255.

It can be divided in two parts, 2255 and 15700, that added together give a triangular number (17955 = T₁₈₉).

The spelling of 225515700 in words is "two hundred twenty-five million, five hundred fifteen thousand, seven hundred".