220302400 has 84 divisors (see below), whose sum is σ = 546156388. Its totient is φ = 87459840.

The previous prime is 220302391. The next prime is 220302409. The reversal of 220302400 is 4203022.

It is an interprime number because it is at equal distance from previous prime (220302391) and next prime (220302409).

It can be written as a sum of positive squares in 6 ways, for example, as 788544 + 219513856 = 888^2 + 14816^2 .

It is not an unprimeable number, because it can be changed into a prime (220302409) 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, 250762 + ... + 251638.

Almost surely, 2^220302400 is an apocalyptic number.

220302400 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 220302400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273078194).

220302400 is an abundant number, since it is smaller than the sum of its proper divisors (325853988).

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

220302400 is a wasteful number, since it uses less digits than its factorization.

220302400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 1041 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 13.

The square root of 220302400 is about 14842.5873755218. The cubic root of 220302400 is about 603.9575427373.

Adding to 220302400 its reverse (4203022), we get a palindrome (224505422).

The spelling of 220302400 in words is "two hundred twenty million, three hundred two thousand, four hundred".