221096304 has 200 divisors, whose sum is σ = 752420592. Its totient is φ = 61793280.

The previous prime is 221096299. The next prime is 221096311. The reversal of 221096304 is 403690122.

221096304 is a `hidden beast` number, since 2 + 21 + 0 + 9 + 630 + 4 = 666.

221096304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 184732 + ... + 185924.

Almost surely, 2^221096304 is an apocalyptic number.

221096304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221096304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (376210296).

221096304 is an abundant number, since it is smaller than the sum of its proper divisors (531324288).

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

221096304 is a wasteful number, since it uses less digits than its factorization.

221096304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1237 (or 1222 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 221096304 is about 14869.3074485667. The cubic root of 221096304 is about 604.6821671424.

The spelling of 221096304 in words is "two hundred twenty-one million, ninety-six thousand, three hundred four".