225910944 has 120 divisors (see below), whose sum is σ = 759372768. Its totient is φ = 64540800.

The previous prime is 225910921. The next prime is 225910961. The reversal of 225910944 is 449019522.

225910944 is a `hidden beast` number, since 22 + 591 + 0 + 9 + 44 = 666.

It is a super-2 number, since 2×225910944² = 102071509237942272, 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 = 225910899 and 225910908.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 11919 + ... + 24369.

Almost surely, 2^225910944 is an apocalyptic number.

225910944 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 225910944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379686384).

225910944 is an abundant number, since it is smaller than the sum of its proper divisors (533461824).

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

225910944 is a wasteful number, since it uses less digits than its factorization.

225910944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12480 (or 12463 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 36.

The square root of 225910944 is about 15030.3341280226. The cubic root of 225910944 is about 609.0399158481.

It can be divided in two parts, 2259 and 10944, that added together give a triangular number (13203 = T₁₆₂).

The spelling of 225910944 in words is "two hundred twenty-five million, nine hundred ten thousand, nine hundred forty-four".