220002048 has 144 divisors (see below), whose sum is σ = 743688960. Its totient is φ = 62843904.

The previous prime is 220002031. The next prime is 220002053. The reversal of 220002048 is 840200022.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×220002048² = 96801802248388608, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a self number, because there is not a number n which added to its sum of digits gives 220002048.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 46111 + ... + 50657.

Almost surely, 2^220002048 is an apocalyptic number.

220002048 is a gapful number since it is divisible by the number (28) 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 220002048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371844480).

220002048 is an abundant number, since it is smaller than the sum of its proper divisors (523686912).

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

220002048 is an equidigital number, since it uses as much as digits as its factorization.

220002048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4579 (or 4559 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 220002048 is about 14832.4660120966. The cubic root of 220002048 is about 603.6829469146.

The spelling of 220002048 in words is "two hundred twenty million, two thousand, forty-eight".