220031400 has 96 divisors (see below), whose sum is σ = 718034400. Its totient is φ = 55584000.

The previous prime is 220031389. The next prime is 220031401. The reversal of 220031400 is 4130022.

220031400 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 (12).

It is not an unprimeable number, because it can be changed into a prime (220031401) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1750 + ... + 21050.

It is an arithmetic number, because the mean of its divisors is an integer number (7479525).

Almost surely, 2^220031400 is an apocalyptic number.

220031400 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 220031400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (359017200).

220031400 is an abundant number, since it is smaller than the sum of its proper divisors (498003000).

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

220031400 is a wasteful number, since it uses less digits than its factorization.

220031400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19339 (or 19330 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 220031400 is about 14833.4554302091. The cubic root of 220031400 is about 603.7097928979.

Adding to 220031400 its reverse (4130022), we get a palindrome (224161422).

The spelling of 220031400 in words is "two hundred twenty million, thirty-one thousand, four hundred".