221355200 has 84 divisors (see below), whose sum is σ = 594235032. Its totient is φ = 80486400.

The previous prime is 221355179. The next prime is 221355227. The reversal of 221355200 is 2553122.

It is a Harshad number since it is a multiple of its sum of digits (20).

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, 11312 + ... + 23888.

Almost surely, 2^221355200 is an apocalyptic number.

221355200 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 221355200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (297117516).

221355200 is an abundant number, since it is smaller than the sum of its proper divisors (372879832).

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

221355200 is a wasteful number, since it uses less digits than its factorization.

221355200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12610 (or 12595 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 20.

The square root of 221355200 is about 14878.0106197032. The cubic root of 221355200 is about 604.9180955991.

The spelling of 221355200 in words is "two hundred twenty-one million, three hundred fifty-five thousand, two hundred".