221342020900 has 729 divisors, whose sum is σ = 679467798387. Its totient is φ = 62327865600.

The previous prime is 221342020849. The next prime is 221342020901. The reversal of 221342020900 is 9020243122.

The square root of 221342020900 is 470470.

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

It can be written as a sum of positive squares in 4 ways, for example, as 57051233316 + 164290787584 = 238854^2 + 405328^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (221342020901) by changing a digit.

It is a polite number, since it can be written in 242 ways as a sum of consecutive naturals, for example, 4709404677 + ... + 4709404723.

Almost surely, 2^221342020900 is an apocalyptic number.

221342020900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

221342020900 is the 470470-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221342020900

221342020900 is an abundant number, since it is smaller than the sum of its proper divisors (458125777487).

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

221342020900 is a wasteful number, since it uses less digits than its factorization.

221342020900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 25.

Multiplying 221342020900 by its sum of digits (25), we get a square (5533550522500 = 2352350²).

221342020900 divided by its sum of digits (25) gives a square (8853680836 = 94094²).

The spelling of 221342020900 in words is "two hundred twenty-one billion, three hundred forty-two million, twenty thousand, nine hundred".