221704704 has 120 divisors (see below), whose sum is σ = 689260572. Its totient is φ = 68198400.

The previous prime is 221704669. The next prime is 221704709. The reversal of 221704704 is 407407122.

It is a happy number.

221704704 is a `hidden beast` number, since 22 + 170 + 470 + 4 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 208744704 + 12960000 = 14448^2 + 3600^2 .

It is not an unprimeable number, because it can be changed into a prime (221704709) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 58054 + ... + 61754.

Almost surely, 2^221704704 is an apocalyptic number.

221704704 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 221704704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (344630286).

221704704 is an abundant number, since it is smaller than the sum of its proper divisors (467555868).

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

221704704 is a wasteful number, since it uses less digits than its factorization.

221704704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3738 (or 3719 counting only the distinct ones).

The product of its (nonzero) digits is 3136, while the sum is 27.

The square root of 221704704 is about 14889.7516433284. The cubic root of 221704704 is about 605.2363022921.

The spelling of 221704704 in words is "two hundred twenty-one million, seven hundred four thousand, seven hundred four".