220814880 has 192 divisors, whose sum is σ = 817423488. Its totient is φ = 49397760.

The previous prime is 220814863. The next prime is 220814897. The reversal of 220814880 is 88418022.

It is an interprime number because it is at equal distance from previous prime (220814863) and next prime (220814897).

It is a super-2 number, since 2×220814880² = 97518422458828800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 67032 + ... + 70248.

It is an arithmetic number, because the mean of its divisors is an integer number (4257414).

Almost surely, 2^220814880 is an apocalyptic number.

220814880 is a gapful number since it is divisible by the number (20) 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 220814880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (408711744).

220814880 is an abundant number, since it is smaller than the sum of its proper divisors (596608608).

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

220814880 is a wasteful number, since it uses less digits than its factorization.

220814880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3259 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 8192, while the sum is 33.

The square root of 220814880 is about 14859.8411835389. The cubic root of 220814880 is about 604.4255002152.

The spelling of 220814880 in words is "two hundred twenty million, eight hundred fourteen thousand, eight hundred eighty".