225355400 has 96 divisors (see below), whose sum is σ = 562464000. Its totient is φ = 83665920.

The previous prime is 225355373. The next prime is 225355439. The reversal of 225355400 is 4553522.

225355400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 225355400.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 268181 + ... + 269019.

It is an arithmetic number, because the mean of its divisors is an integer number (5859000).

Almost surely, 2^225355400 is an apocalyptic number.

225355400 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 225355400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (281232000).

225355400 is an abundant number, since it is smaller than the sum of its proper divisors (337108600).

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

225355400 is a wasteful number, since it uses less digits than its factorization.

225355400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 951 (or 942 counting only the distinct ones).

The product of its (nonzero) digits is 6000, while the sum is 26.

The square root of 225355400 is about 15011.8419922407. The cubic root of 225355400 is about 608.5402702917.

The spelling of 225355400 in words is "two hundred twenty-five million, three hundred fifty-five thousand, four hundred".