220839947100 has 90 divisors (see below), whose sum is σ = 715875889344. Its totient is φ = 58890650400.

The previous prime is 220839947087. The next prime is 220839947101. The reversal of 220839947100 is 1749938022.

220839947100 is a `hidden beast` number, since 2 + 208 + 399 + 47 + 10 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (90).

It is a super-3 number, since 3×220839947100³ (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220839947101) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 13623996 + ... + 13640195.

Almost surely, 2^220839947100 is an apocalyptic number.

220839947100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220839947100 is an abundant number, since it is smaller than the sum of its proper divisors (495035942244).

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

220839947100 is a wasteful number, since it uses less digits than its factorization.

220839947100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27264217 (or 27264201 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 220839947100 in words is "two hundred twenty billion, eight hundred thirty-nine million, nine hundred forty-seven thousand, one hundred".