221256432 has 60 divisors (see below), whose sum is σ = 620362080. Its totient is φ = 73615104.

The previous prime is 221256383. The next prime is 221256433. The reversal of 221256432 is 234652122.

It is a happy number.

221256432 is a `hidden beast` number, since 2 + 2 + 12 + 5 + 643 + 2 = 666.

It is a super-3 number, since 3×221256432³ (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 221256396 and 221256405.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (221256433) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 102468 + ... + 104604.

It is an arithmetic number, because the mean of its divisors is an integer number (10339368).

Almost surely, 2^221256432 is an apocalyptic number.

It is an amenable number.

221256432 is an abundant number, since it is smaller than the sum of its proper divisors (399105648).

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

221256432 is a wasteful number, since it uses less digits than its factorization.

221256432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2870 (or 2861 counting only the distinct ones).

The product of its digits is 5760, while the sum is 27.

The square root of 221256432 is about 14874.6909883870. The cubic root of 221256432 is about 604.8281113582.

The spelling of 221256432 in words is "two hundred twenty-one million, two hundred fifty-six thousand, four hundred thirty-two".