221055600 has 120 divisors (see below), whose sum is σ = 725547312. Its totient is φ = 57497600.

The previous prime is 221055577. The next prime is 221055623. The reversal of 221055600 is 6550122.

It is an interprime number because it is at equal distance from previous prime (221055577) and next prime (221055623).

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 46954 + ... + 51446.

Almost surely, 2^221055600 is an apocalyptic number.

221055600 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 221055600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362773656).

221055600 is an abundant number, since it is smaller than the sum of its proper divisors (504491712).

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

221055600 is a wasteful number, since it uses less digits than its factorization.

221055600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4555 (or 4544 counting only the distinct ones).

The product of its (nonzero) digits is 600, while the sum is 21.

The square root of 221055600 is about 14867.9386600833. The cubic root of 221055600 is about 604.6450573807.

The spelling of 221055600 in words is "two hundred twenty-one million, fifty-five thousand, six hundred".