225637020 has 144 divisors (see below), whose sum is σ = 788755968. Its totient is φ = 51143040.

The previous prime is 225637001. The next prime is 225637021. The reversal of 225637020 is 20736522.

225637020 is a `hidden beast` number, since 2 + 2 + 5 + 637 + 0 + 20 = 666.

225637020 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225637021) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 164377 + ... + 165743.

It is an arithmetic number, because the mean of its divisors is an integer number (5477472).

Almost surely, 2^225637020 is an apocalyptic number.

225637020 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 225637020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (394377984).

225637020 is an abundant number, since it is smaller than the sum of its proper divisors (563118948).

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

225637020 is a wasteful number, since it uses less digits than its factorization.

225637020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1520 (or 1515 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 27.

The square root of 225637020 is about 15021.2189918129. The cubic root of 225637020 is about 608.7936563834.

The spelling of 225637020 in words is "two hundred twenty-five million, six hundred thirty-seven thousand, twenty".