220013400 has 192 divisors, whose sum is σ = 723168000. Its totient is φ = 55221760.

The previous prime is 220013399. The next prime is 220013447. The reversal of 220013400 is 4310022.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1476526 + ... + 1476674.

It is an arithmetic number, because the mean of its divisors is an integer number (3766500).

Almost surely, 2^220013400 is an apocalyptic number.

220013400 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 220013400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361584000).

220013400 is an abundant number, since it is smaller than the sum of its proper divisors (503154600).

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

220013400 is a wasteful number, since it uses less digits than its factorization.

220013400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298 (or 289 counting only the distinct ones).

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

The square root of 220013400 is about 14832.8486812210. The cubic root of 220013400 is about 603.6933299861.

Adding to 220013400 its reverse (4310022), we get a palindrome (224323422).

The spelling of 220013400 in words is "two hundred twenty million, thirteen thousand, four hundred".