220114200 has 96 divisors (see below), whose sum is σ = 692098560. Its totient is φ = 57859200.

The previous prime is 220114189. The next prime is 220114211. The reversal of 220114200 is 2411022.

220114200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (220114189) and next prime (220114211).

It is a super-2 number, since 2×220114200² = 96900522083280000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 40017 + ... + 45183.

It is an arithmetic number, because the mean of its divisors is an integer number (7209360).

Almost surely, 2^220114200 is an apocalyptic number.

220114200 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 220114200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (346049280).

220114200 is an abundant number, since it is smaller than the sum of its proper divisors (471984360).

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

220114200 is a wasteful number, since it uses less digits than its factorization.

220114200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5257 (or 5248 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220114200 is about 14836.2461559520. The cubic root of 220114200 is about 603.7855107302.

Adding to 220114200 its reverse (2411022), we get a palindrome (222525222).

The spelling of 220114200 in words is "two hundred twenty million, one hundred fourteen thousand, two hundred".