225557400 has 192 divisors, whose sum is σ = 734015520. Its totient is φ = 57241600.

The previous prime is 225557399. The next prime is 225557429. The reversal of 225557400 is 4755522.

It is a super-2 number, since 2×225557400² = 101752281389520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1303714 + ... + 1303886.

Almost surely, 2^225557400 is an apocalyptic number.

225557400 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 225557400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (367007760).

225557400 is an abundant number, since it is smaller than the sum of its proper divisors (508458120).

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

225557400 is a wasteful number, since it uses less digits than its factorization.

225557400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 277 counting only the distinct ones).

The product of its (nonzero) digits is 14000, while the sum is 30.

The square root of 225557400 is about 15018.5685070182. The cubic root of 225557400 is about 608.7220401012.

The spelling of 225557400 in words is "two hundred twenty-five million, five hundred fifty-seven thousand, four hundred".