221304384900 has 135 divisors (see below), whose sum is σ = 717518658549. Its totient is φ = 59003212320.

The previous prime is 221304384877. The next prime is 221304384943. The reversal of 221304384900 is 9483403122.

The square root of 221304384900 is 470430.

It is a perfect power (a square), and thus also a powerful number.

221304384900 is a `hidden beast` number, since 2 + 2 + 130 + 4 + 38 + 490 + 0 = 666.

It can be written as a sum of positive squares in only one way, i.e., 79669578564 + 141634806336 = 282258^2 + 376344^2 .

It is a tau number, because it is divible by the number of its divisors (135).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 42336087 + ... + 42341313.

Almost surely, 2^221304384900 is an apocalyptic number.

221304384900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

221304384900 is the 470430-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221304384900

221304384900 is an abundant number, since it is smaller than the sum of its proper divisors (496214273649).

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

221304384900 is an frugal number, since it uses more digits than its factorization.

221304384900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10480 (or 5237 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

Multiplying 221304384900 by its sum of digits (36), we get a square (7966957856400 = 2822580²).

221304384900 divided by its sum of digits (36) gives a square (6147344025 = 78405²).

The spelling of 221304384900 in words is "two hundred twenty-one billion, three hundred four million, three hundred eighty-four thousand, nine hundred".