225658224000 has 960 divisors, whose sum is σ = 921858537600. Its totient is φ = 54667008000.

The previous prime is 225658223983. The next prime is 225658224017. The reversal of 225658224000 is 422856522.

225658224000 is a `hidden beast` number, since 2 + 2 + 56 + 582 + 24 + 0 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (225658223983) and next prime (225658224017).

It is a tau number, because it is divible by the number of its divisors (960).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 156815281 + ... + 156816719.

It is an arithmetic number, because the mean of its divisors is an integer number (960269310).

Almost surely, 2^225658224000 is an apocalyptic number.

225658224000 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 225658224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (460929268800).

225658224000 is an abundant number, since it is smaller than the sum of its proper divisors (696200313600).

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

225658224000 is a wasteful number, since it uses less digits than its factorization.

225658224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1502 (or 1460 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 225658224000 in words is "two hundred twenty-five billion, six hundred fifty-eight million, two hundred twenty-four thousand".