220281516 has 144 divisors (see below), whose sum is σ = 721593600. Its totient is φ = 55022976.

The previous prime is 220281463. The next prime is 220281533. The reversal of 220281516 is 615182022.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 220281516.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 60475 + ... + 64013.

Almost surely, 2^220281516 is an apocalyptic number.

220281516 is a gapful number since it is divisible by the number (26) 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 220281516, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360796800).

220281516 is an abundant number, since it is smaller than the sum of its proper divisors (501312084).

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

220281516 is a wasteful number, since it uses less digits than its factorization.

220281516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3588 (or 3583 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 27.

The square root of 220281516 is about 14841.8838426933. The cubic root of 220281516 is about 603.9384576858.

The spelling of 220281516 in words is "two hundred twenty million, two hundred eighty-one thousand, five hundred sixteen".