225507700 has 54 divisors (see below), whose sum is σ = 537911318. Its totient is φ = 81998400.

The previous prime is 225507697. The next prime is 225507707. The reversal of 225507700 is 7705522.

It can be written as a sum of positive squares in 3 ways, for example, as 3020644 + 222487056 = 1738^2 + 14916^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225507707) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2782 + ... + 21418.

Almost surely, 2^225507700 is an apocalyptic number.

225507700 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 225507700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268955659).

225507700 is an abundant number, since it is smaller than the sum of its proper divisors (312403618).

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

225507700 is a wasteful number, since it uses less digits than its factorization.

225507700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18673 (or 18655 counting only the distinct ones).

The product of its (nonzero) digits is 4900, while the sum is 28.

The square root of 225507700 is about 15016.9137974485. The cubic root of 225507700 is about 608.6773275983.

The spelling of 225507700 in words is "two hundred twenty-five million, five hundred seven thousand, seven hundred".