225601524 has 60 divisors (see below), whose sum is σ = 592900000. Its totient is φ = 74801232.

The previous prime is 225601517. The next prime is 225601559. The reversal of 225601524 is 425106522.

225601524 is a `hidden beast` number, since 2 + 2 + 5 + 601 + 52 + 4 = 666.

It is a super-2 number, since 2×225601524² = 101792095262245152, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 62727 + ... + 66225.

Almost surely, 2^225601524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225601524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296450000).

225601524 is an abundant number, since it is smaller than the sum of its proper divisors (367298476).

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

225601524 is a wasteful number, since it uses less digits than its factorization.

225601524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3714 (or 3703 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 225601524 is about 15020.0374167310. The cubic root of 225601524 is about 608.7617306635.

The spelling of 225601524 in words is "two hundred twenty-five million, six hundred one thousand, five hundred twenty-four".