225165512 has 96 divisors (see below), whose sum is σ = 517822200. Its totient is φ = 91069440.

The previous prime is 225165511. The next prime is 225165517. The reversal of 225165512 is 215561522.

It can be written as a sum of positive squares in 4 ways, for example, as 90744676 + 134420836 = 9526^2 + 11594^2 .

It is a Harshad number since it is a multiple of its sum of digits (29).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225165511) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 364628 + ... + 365244.

Almost surely, 2^225165512 is an apocalyptic number.

225165512 is a gapful number since it is divisible by the number (22) 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 225165512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258911100).

225165512 is an abundant number, since it is smaller than the sum of its proper divisors (292656688).

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

225165512 is a wasteful number, since it uses less digits than its factorization.

225165512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 687 (or 672 counting only the distinct ones).

The product of its digits is 6000, while the sum is 29.

The square root of 225165512 is about 15005.5160524388. The cubic root of 225165512 is about 608.3693003984.

The spelling of 225165512 in words is "two hundred twenty-five million, one hundred sixty-five thousand, five hundred twelve".