225135988 has 72 divisors (see below), whose sum is σ = 504693504. Its totient is φ = 87613680.

The previous prime is 225135979. The next prime is 225135991. The reversal of 225135988 is 889531522.

It is a super-2 number, since 2×225135988² = 101372426185472288, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 260445 + ... + 261307.

It is an arithmetic number, because the mean of its divisors is an integer number (7009632).

Almost surely, 2^225135988 is an apocalyptic number.

225135988 is a gapful number since it is divisible by the number (28) 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 225135988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252346752).

225135988 is an abundant number, since it is smaller than the sum of its proper divisors (279557516).

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

225135988 is a wasteful number, since it uses less digits than its factorization.

225135988 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 914 (or 883 counting only the distinct ones).

The product of its digits is 172800, while the sum is 43.

The square root of 225135988 is about 15004.5322486241. The cubic root of 225135988 is about 608.3427091735.

The spelling of 225135988 in words is "two hundred twenty-five million, one hundred thirty-five thousand, nine hundred eighty-eight".