225590438700 has 216 divisors, whose sum is σ = 779023483056. Its totient is φ = 54146880000.

The previous prime is 225590438687. The next prime is 225590438797. The reversal of 225590438700 is 7834095522.

225590438700 is a `hidden beast` number, since 2 + 25 + 590 + 4 + 38 + 7 + 0 + 0 = 666.

225590438700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 887094 + ... + 1112706.

Almost surely, 2^225590438700 is an apocalyptic number.

225590438700 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 225590438700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389511741528).

225590438700 is an abundant number, since it is smaller than the sum of its proper divisors (553433044356).

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

225590438700 is a wasteful number, since it uses less digits than its factorization.

225590438700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225745 (or 225735 counting only the distinct ones).

The product of its (nonzero) digits is 604800, while the sum is 45.

The spelling of 225590438700 in words is "two hundred twenty-five billion, five hundred ninety million, four hundred thirty-eight thousand, seven hundred".