220641400 has 96 divisors (see below), whose sum is σ = 589248000. Its totient is φ = 75265920.

The previous prime is 220641371. The next prime is 220641401. The reversal of 220641400 is 4146022.

220641400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220641401) 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, 502381 + ... + 502819.

It is an arithmetic number, because the mean of its divisors is an integer number (6138000).

Almost surely, 2^220641400 is an apocalyptic number.

220641400 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 220641400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (294624000).

220641400 is an abundant number, since it is smaller than the sum of its proper divisors (368606600).

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

220641400 is a wasteful number, since it uses less digits than its factorization.

220641400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 821 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 220641400 is about 14854.0028275209. The cubic root of 220641400 is about 604.2671727100.

Adding to 220641400 its reverse (4146022), we get a palindrome (224787422).

The spelling of 220641400 in words is "two hundred twenty million, six hundred forty-one thousand, four hundred".