220446512 has 120 divisors (see below), whose sum is σ = 533351280. Its totient is φ = 87436800.

The previous prime is 220446491. The next prime is 220446517. The reversal of 220446512 is 215644022.

It is a super-2 number, since 2×220446512² = 97193329305932288, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (220446517) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 477962 + ... + 478422.

It is an arithmetic number, because the mean of its divisors is an integer number (4444594).

Almost surely, 2^220446512 is an apocalyptic number.

220446512 is a gapful number since it is divisible by the number (22) 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 220446512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266675640).

220446512 is an abundant number, since it is smaller than the sum of its proper divisors (312904768).

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

220446512 is a wasteful number, since it uses less digits than its factorization.

220446512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 506 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 26.

The square root of 220446512 is about 14847.4412610389. The cubic root of 220446512 is about 604.0892080567.

The spelling of 220446512 in words is "two hundred twenty million, four hundred forty-six thousand, five hundred twelve".