20218100 has 72 divisors (see below), whose sum is σ = 53121600. Its totient is φ = 6520320.

The previous prime is 20218091. The next prime is 20218123. The reversal of 20218100 is 181202.

It is a super-2 number, since 2×20218100² = 817543135220000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (14).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 11051 + ... + 12749.

It is an arithmetic number, because the mean of its divisors is an integer number (737800).

Almost surely, 2^20218100 is an apocalyptic number.

20218100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20218100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26560800).

20218100 is an abundant number, since it is smaller than the sum of its proper divisors (32903500).

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

20218100 is a wasteful number, since it uses less digits than its factorization.

20218100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1737 (or 1730 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 14.

The square root of 20218100 is about 4496.4541585565. The cubic root of 20218100 is about 272.4248874143.

20218100 divided by its sum of digits (14) gives a triangular number (1444150 = T₁₆₉₉).

Adding to 20218100 its reverse (181202), we get a palindrome (20399302).

The spelling of 20218100 in words is "twenty million, two hundred eighteen thousand, one hundred".