225714172320 has 1440 divisors, whose sum is σ = 1051169011200. Its totient is φ = 45085372416.

The previous prime is 225714172273. The next prime is 225714172349. The reversal of 225714172320 is 23271417522.

225714172320 is a `hidden beast` number, since 2 + 2 + 5 + 7 + 1 + 417 + 232 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×225714172320² (a number of 24 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 156854161 + ... + 156855599.

It is an arithmetic number, because the mean of its divisors is an integer number (729978480).

Almost surely, 2^225714172320 is an apocalyptic number.

225714172320 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 225714172320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (525584505600).

225714172320 is an abundant number, since it is smaller than the sum of its proper divisors (825454838880).

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

225714172320 is a wasteful number, since it uses less digits than its factorization.

225714172320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1512 (or 1488 counting only the distinct ones).

The product of its (nonzero) digits is 47040, while the sum is 36.

Adding to 225714172320 its reverse (23271417522), we get a palindrome (248985589842).

The spelling of 225714172320 in words is "two hundred twenty-five billion, seven hundred fourteen million, one hundred seventy-two thousand, three hundred twenty".