225237636 has 72 divisors (see below), whose sum is σ = 615999384. Its totient is φ = 68981760.

The previous prime is 225237629. The next prime is 225237637. The reversal of 225237636 is 636732522.

It is a happy number.

225237636 is a `hidden beast` number, since 2 + 252 + 376 + 36 = 666.

225237636 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 57600 + 225180036 = 240^2 + 15006^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 225237636.

It is not an unprimeable number, because it can be changed into a prime (225237637) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111790 + ... + 113786.

It is an arithmetic number, because the mean of its divisors is an integer number (8555547).

Almost surely, 2^225237636 is an apocalyptic number.

225237636 is a gapful number since it is divisible by the number (26) 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 225237636, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307999692).

225237636 is an abundant number, since it is smaller than the sum of its proper divisors (390761748).

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

225237636 is a wasteful number, since it uses less digits than its factorization.

225237636 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2256 counting only the distinct ones).

The product of its digits is 90720, while the sum is 36.

The square root of 225237636 is about 15007.9191095901. The cubic root of 225237636 is about 608.4342501664.

The spelling of 225237636 in words is "two hundred twenty-five million, two hundred thirty-seven thousand, six hundred thirty-six".