220281768 has 80 divisors (see below), whose sum is σ = 705149280. Its totient is φ = 62936352.

The previous prime is 220281739. The next prime is 220281773. The reversal of 220281768 is 867182022.

It is a happy number.

It is a super-4 number, since 4×220281768⁴ (a number of 34 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 19 ways as a sum of consecutive naturals, for example, 19746 + ... + 28817.

It is an arithmetic number, because the mean of its divisors is an integer number (8814366).

Almost surely, 2^220281768 is an apocalyptic number.

220281768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

220281768 is an abundant number, since it is smaller than the sum of its proper divisors (484867512).

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

220281768 is a wasteful number, since it uses less digits than its factorization.

220281768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48588 (or 48575 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 36.

The square root of 220281768 is about 14841.8923321792. The cubic root of 220281768 is about 603.9386879857.

The spelling of 220281768 in words is "two hundred twenty million, two hundred eighty-one thousand, seven hundred sixty-eight".