221327964 has 240 divisors, whose sum is σ = 722294496. Its totient is φ = 58060800.

The previous prime is 221327933. The next prime is 221327983. The reversal of 221327964 is 469723122.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 787504 + ... + 787784.

Almost surely, 2^221327964 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 221327964, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361147248).

221327964 is an abundant number, since it is smaller than the sum of its proper divisors (500966532).

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

221327964 is a wasteful number, since it uses less digits than its factorization.

221327964 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 338 (or 327 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The square root of 221327964 is about 14877.0952810016. The cubic root of 221327964 is about 604.8932844584.

The spelling of 221327964 in words is "two hundred twenty-one million, three hundred twenty-seven thousand, nine hundred sixty-four".