222321680100 has 675 divisors, whose sum is σ = 806730912141. Its totient is φ = 52960003200.

The previous prime is 222321680029. The next prime is 222321680209. The reversal of 222321680100 is 1086123222.

The square root of 222321680100 is 471510.

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

It can be written as a sum of positive squares in 7 ways, for example, as 218131966116 + 4189713984 = 467046^2 + 64728^2 .

It is a tau number, because it is divible by the number of its divisors (675).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 224 ways as a sum of consecutive naturals, for example, 7171667085 + ... + 7171667115.

Almost surely, 2^222321680100 is an apocalyptic number.

222321680100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

222321680100 is the 471510-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 222321680100

222321680100 is an abundant number, since it is smaller than the sum of its proper divisors (584409232041).

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

222321680100 is an equidigital number, since it uses as much as digits as its factorization.

222321680100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 140 (or 54 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Multiplying 222321680100 by its product of nonzero digits (2304), we get a square (512229150950400 = 22632480²).

The spelling of 222321680100 in words is "two hundred twenty-two billion, three hundred twenty-one million, six hundred eighty thousand, one hundred".