220664400 has 240 divisors, whose sum is σ = 785098560. Its totient is φ = 52531200.

The previous prime is 220664399. The next prime is 220664413. The reversal of 220664400 is 4466022.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 963486 + ... + 963714.

It is an arithmetic number, because the mean of its divisors is an integer number (3271244).

Almost surely, 2^220664400 is an apocalyptic number.

220664400 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 220664400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (392549280).

220664400 is an abundant number, since it is smaller than the sum of its proper divisors (564434160).

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

220664400 is a wasteful number, since it uses less digits than its factorization.

220664400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 24.

The square root of 220664400 is about 14854.7770094337. Note that the first 3 decimals coincide. The cubic root of 220664400 is about 604.2881685613.

The spelling of 220664400 in words is "two hundred twenty million, six hundred sixty-four thousand, four hundred".