220400164 has 24 divisors (see below), whose sum is σ = 395287200. Its totient is φ = 107490240.

The previous prime is 220400161. The next prime is 220400177. The reversal of 220400164 is 461004022.

It is a super-4 number, since 4×220400164⁴ (a number of 34 digits) contains 4444 as substring.

It is not an unprimeable number, because it can be changed into a prime (220400161) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 27352 + ... + 34480.

It is an arithmetic number, because the mean of its divisors is an integer number (16470300).

Almost surely, 2^220400164 is an apocalyptic number.

It is an amenable number.

220400164 is a deficient number, since it is larger than the sum of its proper divisors (174887036).

220400164 is a wasteful number, since it uses less digits than its factorization.

220400164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7323 (or 7321 counting only the distinct ones).

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

The square root of 220400164 is about 14845.8803713353. The cubic root of 220400164 is about 604.0468693071.

Adding to 220400164 its reverse (461004022), we get a palindrome (681404186).

The spelling of 220400164 in words is "two hundred twenty million, four hundred thousand, one hundred sixty-four".