225206400 has 96 divisors (see below), whose sum is σ = 741805200. Its totient is φ = 60052480.

The previous prime is 225206393. The next prime is 225206417. The reversal of 225206400 is 4602522.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2130 + ... + 21329.

Almost surely, 2^225206400 is an apocalyptic number.

225206400 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 225206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (370902600).

225206400 is an abundant number, since it is smaller than the sum of its proper divisors (516598800).

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

225206400 is a wasteful number, since it uses less digits than its factorization.

225206400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23486 (or 23469 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 225206400 is about 15006.8784229099. The cubic root of 225206400 is about 608.4061229387.

Adding to 225206400 its reverse (4602522), we get a palindrome (229808922).

It can be divided in two parts, 22520 and 6400, that added together give a triangular number (28920 = T₂₄₀).

The spelling of 225206400 in words is "two hundred twenty-five million, two hundred six thousand, four hundred".