220290848100 has 108 divisors (see below), whose sum is σ = 716063186384. Its totient is φ = 58744219680.

The previous prime is 220290848093. The next prime is 220290848117. The reversal of 220290848100 is 1848092022.

220290848100 is a `hidden beast` number, since 220 + 290 + 8 + 48 + 100 = 666.

220290848100 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×220290848100² (a number of 23 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4508434 + ... + 4557033.

Almost surely, 2^220290848100 is an apocalyptic number.

220290848100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220290848100 is an abundant number, since it is smaller than the sum of its proper divisors (495772338284).

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

220290848100 is a wasteful number, since it uses less digits than its factorization.

220290848100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9065496 (or 9065477 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 220290848100 in words is "two hundred twenty billion, two hundred ninety million, eight hundred forty-eight thousand, one hundred".