225362400 has 72 divisors (see below), whose sum is σ = 733562424. Its totient is φ = 60096000.

The previous prime is 225362399. The next prime is 225362407. The reversal of 225362400 is 4263522.

225362400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×225362400² = 101576422667520000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225362407) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44551 + ... + 49350.

It is an arithmetic number, because the mean of its divisors is an integer number (10188367).

Almost surely, 2^225362400 is an apocalyptic number.

225362400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

225362400 is an abundant number, since it is smaller than the sum of its proper divisors (508200024).

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

225362400 is a wasteful number, since it uses less digits than its factorization.

225362400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 93924 (or 93911 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 225362400 is about 15012.0751397000. The cubic root of 225362400 is about 608.5465710619.

The spelling of 225362400 in words is "two hundred twenty-five million, three hundred sixty-two thousand, four hundred".