220123800 has 288 divisors, whose sum is σ = 832759200. Its totient is φ = 51701760.

The previous prime is 220123781. The next prime is 220123801. The reversal of 220123800 is 8321022.

It is a happy number.

220123800 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220123801) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 537996 + ... + 538404.

It is an arithmetic number, because the mean of its divisors is an integer number (2891525).

Almost surely, 2^220123800 is an apocalyptic number.

220123800 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 220123800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416379600).

220123800 is an abundant number, since it is smaller than the sum of its proper divisors (612635400).

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

220123800 is a wasteful number, since it uses less digits than its factorization.

220123800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 467 (or 455 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 220123800 is about 14836.5696843981. The cubic root of 220123800 is about 603.7942883808.

Adding to 220123800 its reverse (8321022), we get a palindrome (228444822).

The spelling of 220123800 in words is "two hundred twenty million, one hundred twenty-three thousand, eight hundred".