221376096 has 72 divisors (see below), whose sum is σ = 632431800. Its totient is φ = 73453056.

The previous prime is 221376079. The next prime is 221376101. The reversal of 221376096 is 690673122.

221376096 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (72).

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 221376096.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 65455 + ... + 68753.

It is an arithmetic number, because the mean of its divisors is an integer number (8783775).

Almost surely, 2^221376096 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 221376096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316215900).

221376096 is an abundant number, since it is smaller than the sum of its proper divisors (411055704).

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

221376096 is a wasteful number, since it uses less digits than its factorization.

221376096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3548 (or 3537 counting only the distinct ones).

The product of its (nonzero) digits is 27216, while the sum is 36.

The square root of 221376096 is about 14878.7128475551. The cubic root of 221376096 is about 604.9371298192.

The spelling of 221376096 in words is "two hundred twenty-one million, three hundred seventy-six thousand, ninety-six".