225361600 has 84 divisors (see below), whose sum is σ = 561542184. Its totient is φ = 89006080.

The previous prime is 225361589. The next prime is 225361607. The reversal of 225361600 is 6163522.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (225361607) 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, 131952 + ... + 133648.

It is an arithmetic number, because the mean of its divisors is an integer number (6685026).

Almost surely, 2^225361600 is an apocalyptic number.

225361600 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 225361600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280771092).

225361600 is an abundant number, since it is smaller than the sum of its proper divisors (336180584).

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

225361600 is a wasteful number, since it uses less digits than its factorization.

225361600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1802 (or 1787 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 25.

The square root of 225361600 is about 15012.0484944594. The cubic root of 225361600 is about 608.5458509805.

The spelling of 225361600 in words is "two hundred twenty-five million, three hundred sixty-one thousand, six hundred".