220082408 has 64 divisors (see below), whose sum is σ = 537788160. Its totient is φ = 81939456.

The previous prime is 220082393. The next prime is 220082411. The reversal of 220082408 is 804280022.

It is a super-2 number, since 2×220082408² = 96872532622156928, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (26).

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, 3485 + ... + 21267.

It is an arithmetic number, because the mean of its divisors is an integer number (8402940).

Almost surely, 2^220082408 is an apocalyptic number.

220082408 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 220082408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268894080).

220082408 is an abundant number, since it is smaller than the sum of its proper divisors (317705752).

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

220082408 is a wasteful number, since it uses less digits than its factorization.

220082408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17826 (or 17822 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 26.

The square root of 220082408 is about 14835.1746872088. The cubic root of 220082408 is about 603.7564402550.

The spelling of 220082408 in words is "two hundred twenty million, eighty-two thousand, four hundred eight".