225714560 has 64 divisors (see below), whose sum is σ = 544043520. Its totient is φ = 89542656.

The previous prime is 225714551. The next prime is 225714563. The reversal of 225714560 is 65417522.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225714563) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79892 + ... + 82668.

It is an arithmetic number, because the mean of its divisors is an integer number (8500680).

Almost surely, 2^225714560 is an apocalyptic number.

225714560 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 225714560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272021760).

225714560 is an abundant number, since it is smaller than the sum of its proper divisors (318328960).

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

225714560 is a wasteful number, since it uses less digits than its factorization.

225714560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2923 (or 2911 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 225714560 is about 15023.7997856734. The cubic root of 225714560 is about 608.8633855642.

The spelling of 225714560 in words is "two hundred twenty-five million, seven hundred fourteen thousand, five hundred sixty".