220374144 has 48 divisors (see below), whose sum is σ = 634152870. Its totient is φ = 73457664.

The previous prime is 220374137. The next prime is 220374181. The reversal of 220374144 is 441473022.

It can be written as a sum of positive squares in only one way, i.e., 198471744 + 21902400 = 14088^2 + 4680^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-3 number, since 3×220374144³ (a number of 26 digits) contains 333 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 94497 + ... + 96800.

Almost surely, 2^220374144 is an apocalyptic number.

220374144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220374144 is an abundant number, since it is smaller than the sum of its proper divisors (413778726).

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

220374144 is a wasteful number, since it uses less digits than its factorization.

220374144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191317 (or 191302 counting only the distinct ones).

The product of its (nonzero) digits is 5376, while the sum is 27.

The square root of 220374144 is about 14845.0040080830. The cubic root of 220374144 is about 604.0230975188.

The spelling of 220374144 in words is "two hundred twenty million, three hundred seventy-four thousand, one hundred forty-four".