221677568 has 108 divisors (see below), whose sum is σ = 526817655. Its totient is φ = 92983296.

The previous prime is 221677553. The next prime is 221677597. The reversal of 221677568 is 865776122.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 110838784 + 110838784 = 10528^2 + 10528^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=10528.

Its product of digits (282240) is a multiple of the sum of its prime divisors (56).

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4716521 + ... + 4716567.

Almost surely, 2^221677568 is an apocalyptic number.

221677568 is a gapful number since it is divisible by the number (28) 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 221677568

221677568 is an abundant number, since it is smaller than the sum of its proper divisors (305140087).

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

221677568 is an frugal number, since it uses more digits than its factorization.

221677568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 130 (or 56 counting only the distinct ones).

The product of its digits is 282240, while the sum is 44.

The square root of 221677568 is about 14888.8403846639. The cubic root of 221677568 is about 605.2116082402.

The spelling of 221677568 in words is "two hundred twenty-one million, six hundred seventy-seven thousand, five hundred sixty-eight".