225079344 has 240 divisors, whose sum is σ = 778045440. Its totient is φ = 62233920.

The previous prime is 225079333. The next prime is 225079391. The reversal of 225079344 is 443970522.

225079344 is a `hidden beast` number, since 22 + 507 + 93 + 44 = 666.

It is a super-2 number, since 2×225079344² = 101321422190940672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 225079299 and 225079308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7260609 + ... + 7260639.

It is an arithmetic number, because the mean of its divisors is an integer number (3241856).

Almost surely, 2^225079344 is an apocalyptic number.

225079344 is a gapful number since it is divisible by the number (24) 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 225079344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389022720).

225079344 is an abundant number, since it is smaller than the sum of its proper divisors (552966096).

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

225079344 is an frugal number, since it uses more digits than its factorization.

225079344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83 (or 43 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 225079344 is about 15002.6445668755. The cubic root of 225079344 is about 608.2916854121.

The spelling of 225079344 in words is "two hundred twenty-five million, seventy-nine thousand, three hundred forty-four".