221677900 has 72 divisors (see below), whose sum is σ = 508411904. Its totient is φ = 83764800.

The previous prime is 221677891. The next prime is 221677901. The reversal of 221677900 is 9776122.

It is a hoax number, since the sum of its digits (34) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (221677901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 132469 + ... + 134131.

Almost surely, 2^221677900 is an apocalyptic number.

221677900 is a gapful number since it is divisible by the number (20) 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 221677900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254205952).

221677900 is an abundant number, since it is smaller than the sum of its proper divisors (286734004).

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

221677900 is a wasteful number, since it uses less digits than its factorization.

221677900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1751 (or 1744 counting only the distinct ones).

The product of its (nonzero) digits is 10584, while the sum is 34.

The square root of 221677900 is about 14888.8515339498. The cubic root of 221677900 is about 605.2119103760.

The spelling of 221677900 in words is "two hundred twenty-one million, six hundred seventy-seven thousand, nine hundred".