221894464 has 112 divisors (see below), whose sum is σ = 516818880. Its totient is φ = 93450240.

The previous prime is 221894447. The next prime is 221894479. The reversal of 221894464 is 464498122.

221894464 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 708772 + ... + 709084.

Almost surely, 2^221894464 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 221894464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258409440).

221894464 is an abundant number, since it is smaller than the sum of its proper divisors (294924416).

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

221894464 is a wasteful number, since it uses less digits than its factorization.

221894464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408 (or 398 counting only the distinct ones).

The product of its digits is 110592, while the sum is 40.

The square root of 221894464 is about 14896.1224484763. The cubic root of 221894464 is about 605.4089296460.

The spelling of 221894464 in words is "two hundred twenty-one million, eight hundred ninety-four thousand, four hundred sixty-four".