225331400 has 72 divisors (see below), whose sum is σ = 609455970. Its totient is φ = 77253120.

The previous prime is 225331399. The next prime is 225331417. The reversal of 225331400 is 4133522.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 197177764 + 28153636 = 14042^2 + 5306^2 .

It is a Harshad number since it is a multiple of its sum of digits (20).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 1697 + ... + 21296.

Almost surely, 2^225331400 is an apocalyptic number.

225331400 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 225331400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304727985).

225331400 is an abundant number, since it is smaller than the sum of its proper divisors (384124570).

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

225331400 is a wasteful number, since it uses less digits than its factorization.

225331400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23023 (or 23007 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 20.

The square root of 225331400 is about 15011.0426020313. The cubic root of 225331400 is about 608.5186666603.

Adding to 225331400 its reverse (4133522), we get a palindrome (229464922).

The spelling of 225331400 in words is "two hundred twenty-five million, three hundred thirty-one thousand, four hundred".