225057724220 has 288 divisors, whose sum is σ = 633917793600. Its totient is φ = 66426200064.

The previous prime is 225057724183. The next prime is 225057724223. The reversal of 225057724220 is 22427750522.

It is a Harshad number since it is a multiple of its sum of digits (38).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225057724223) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 9167402 + ... + 9191918.

It is an arithmetic number, because the mean of its divisors is an integer number (2201103450).

Almost surely, 2^225057724220 is an apocalyptic number.

225057724220 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 225057724220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316958896800).

225057724220 is an abundant number, since it is smaller than the sum of its proper divisors (408860069380).

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

225057724220 is a wasteful number, since it uses less digits than its factorization.

225057724220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24605 (or 24596 counting only the distinct ones).

The product of its (nonzero) digits is 156800, while the sum is 38.

The spelling of 225057724220 in words is "two hundred twenty-five billion, fifty-seven million, seven hundred twenty-four thousand, two hundred twenty".