220223213100 has 360 divisors, whose sum is σ = 805638279600. Its totient is φ = 51545894400.

The previous prime is 220223213099. The next prime is 220223213201. The reversal of 220223213100 is 1312322022.

220223213100 is a `hidden beast` number, since 220 + 22 + 321 + 3 + 100 = 666.

It is a super-2 number, since 2×220223213100² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 2541286 + ... + 2626514.

It is an arithmetic number, because the mean of its divisors is an integer number (2237884110).

Almost surely, 2^220223213100 is an apocalyptic number.

220223213100 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 220223213100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (402819139800).

220223213100 is an abundant number, since it is smaller than the sum of its proper divisors (585415066500).

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

220223213100 is a wasteful number, since it uses less digits than its factorization.

220223213100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85295 (or 85279 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 220223213100 its reverse (1312322022), we get a palindrome (221535535122).

The spelling of 220223213100 in words is "two hundred twenty billion, two hundred twenty-three million, two hundred thirteen thousand, one hundred".