220034400 has 144 divisors (see below), whose sum is σ = 758482704. Its totient is φ = 55214080.

The previous prime is 220034393. The next prime is 220034407. The reversal of 220034400 is 4430022.

It is a happy number.

220034400 is digitally balanced in base 2, because in such base 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 (220034393) and next prime (220034407).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 220034400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220034407) 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, 38104 + ... + 43496.

It is an arithmetic number, because the mean of its divisors is an integer number (5267241).

Almost surely, 2^220034400 is an apocalyptic number.

220034400 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 220034400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379241352).

220034400 is an abundant number, since it is smaller than the sum of its proper divisors (538448304).

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

220034400 is a wasteful number, since it uses less digits than its factorization.

220034400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5433 (or 5420 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 220034400 is about 14833.5565526276. The cubic root of 220034400 is about 603.7125366292.

Adding to 220034400 its reverse (4430022), we get a palindrome (224464422).

The spelling of 220034400 in words is "two hundred twenty million, thirty-four thousand, four hundred".