219968900 has 18 divisors (see below), whose sum is σ = 477332730. Its totient is φ = 87987520.

The previous prime is 219968891. The next prime is 219968923. The reversal of 219968900 is 9869912.

It can be written as a sum of positive squares in 3 ways, for example, as 76352644 + 143616256 = 8738^2 + 11984^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1099745 + ... + 1099944.

It is an arithmetic number, because the mean of its divisors is an integer number (26518485).

Almost surely, 2^219968900 is an apocalyptic number.

219968900 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

219968900 is an abundant number, since it is smaller than the sum of its proper divisors (257363830).

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

219968900 is a wasteful number, since it uses less digits than its factorization.

219968900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2199703 (or 2199696 counting only the distinct ones).

The product of its (nonzero) digits is 69984, while the sum is 44.

The square root of 219968900 is about 14831.3485563518. The cubic root of 219968900 is about 603.6526261553.

The spelling of 219968900 in words is "two hundred nineteen million, nine hundred sixty-eight thousand, nine hundred".