221564192 has 48 divisors (see below), whose sum is σ = 453600000. Its totient is φ = 106417920.

The previous prime is 221564173. The next prime is 221564197. The reversal of 221564192 is 291465122.

It is a super-2 number, since 2×221564192² = 98181382353225728, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (221564197) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 147059 + ... + 148557.

It is an arithmetic number, because the mean of its divisors is an integer number (9450000).

Almost surely, 2^221564192 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 221564192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (226800000).

221564192 is an abundant number, since it is smaller than the sum of its proper divisors (232035808).

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

221564192 is a wasteful number, since it uses less digits than its factorization.

221564192 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1689 (or 1681 counting only the distinct ones).

The product of its digits is 8640, while the sum is 32.

The square root of 221564192 is about 14885.0324823294. The cubic root of 221564192 is about 605.1084130559.

The spelling of 221564192 in words is "two hundred twenty-one million, five hundred sixty-four thousand, one hundred ninety-two".