225124720 has 80 divisors (see below), whose sum is σ = 535680000. Its totient is φ = 87969024.

The previous prime is 225124663. The next prime is 225124721. The reversal of 225124720 is 27421522.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×225124720² = 101362279110156800, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225124721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1131181 + ... + 1131379.

It is an arithmetic number, because the mean of its divisors is an integer number (6696000).

Almost surely, 2^225124720 is an apocalyptic number.

225124720 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 225124720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267840000).

225124720 is an abundant number, since it is smaller than the sum of its proper divisors (310555280).

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

225124720 is a wasteful number, since it uses less digits than its factorization.

225124720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 25.

The square root of 225124720 is about 15004.1567573789. The cubic root of 225124720 is about 608.3325598706.

The spelling of 225124720 in words is "two hundred twenty-five million, one hundred twenty-four thousand, seven hundred twenty".