225200640 has 320 divisors, whose sum is σ = 848517120. Its totient is φ = 49889280.

The previous prime is 225200629. The next prime is 225200671. The reversal of 225200640 is 46002522.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3171805 + ... + 3171875.

It is an arithmetic number, because the mean of its divisors is an integer number (2651616).

Almost surely, 2^225200640 is an apocalyptic number.

225200640 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 225200640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (424258560).

225200640 is an abundant number, since it is smaller than the sum of its proper divisors (623316480).

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

225200640 is an equidigital number, since it uses as much as digits as its factorization.

225200640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 163 (or 147 counting only the distinct ones).

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

The square root of 225200640 is about 15006.6865096863. The cubic root of 225200640 is about 608.4009359204.

The spelling of 225200640 in words is "two hundred twenty-five million, two hundred thousand, six hundred forty".