220371400 has 48 divisors (see below), whose sum is σ = 514671300. Its totient is φ = 87751680.

The previous prime is 220371397. The next prime is 220371401. The reversal of 220371400 is 4173022.

It can be written as a sum of positive squares in 6 ways, for example, as 5866084 + 214505316 = 2422^2 + 14646^2 .

It is not an unprimeable number, because it can be changed into a prime (220371401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 44236 + ... + 48964.

Almost surely, 2^220371400 is an apocalyptic number.

220371400 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 220371400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257335650).

220371400 is an abundant number, since it is smaller than the sum of its proper divisors (294299900).

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

220371400 is a wasteful number, since it uses less digits than its factorization.

220371400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4978 (or 4969 counting only the distinct ones).

The product of its (nonzero) digits is 336, while the sum is 19.

The square root of 220371400 is about 14844.9115861294. The cubic root of 220371400 is about 604.0205905002.

The spelling of 220371400 in words is "two hundred twenty million, three hundred seventy-one thousand, four hundred".