221436124900 has 27 divisors (see below), whose sum is σ = 480526602619. Its totient is φ = 88572567680.

The previous prime is 221436124879. The next prime is 221436124909. The reversal of 221436124900 is 9421634122.

The square root of 221436124900 is 470570.

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

221436124900 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 94466481316 + 126969643584 = 307354^2 + 356328^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (221436124909) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4682172 + ... + 4729228.

Almost surely, 2^221436124900 is an apocalyptic number.

221436124900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

221436124900 is the 470570-th square number.

It is an amenable number.

221436124900 is an abundant number, since it is smaller than the sum of its proper divisors (259090477719).

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

221436124900 is an frugal number, since it uses more digits than its factorization.

221436124900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 94128 (or 47064 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 221436124900 in words is "two hundred twenty-one billion, four hundred thirty-six million, one hundred twenty-four thousand, nine hundred".