221053392 has 120 divisors (see below), whose sum is σ = 726251136. Its totient is φ = 61440768.

The previous prime is 221053381. The next prime is 221053409. The reversal of 221053392 is 293350122.

221053392 is a `hidden beast` number, since 221 + 0 + 53 + 392 = 666.

It is a super-2 number, since 2×221053392² = 97729204229411328, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34333 + ... + 40259.

Almost surely, 2^221053392 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 221053392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (363125568).

221053392 is an abundant number, since it is smaller than the sum of its proper divisors (505197744).

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

221053392 is a wasteful number, since it uses less digits than its factorization.

221053392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5985 (or 5976 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 221053392 is about 14867.8644061614. The cubic root of 221053392 is about 604.6430442209.

It can be divided in two parts, 221053 and 392, that added together give a triangular number (221445 = T₆₆₅).

The spelling of 221053392 in words is "two hundred twenty-one million, fifty-three thousand, three hundred ninety-two".