220812048 has 160 divisors (see below), whose sum is σ = 679777920. Its totient is φ = 68382720.

The previous prime is 220812047. The next prime is 220812107. The reversal of 220812048 is 840218022.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220812047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 785668 + ... + 785948.

It is an arithmetic number, because the mean of its divisors is an integer number (4248612).

Almost surely, 2^220812048 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220812048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (339888960).

220812048 is an abundant number, since it is smaller than the sum of its proper divisors (458965872).

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

220812048 is a wasteful number, since it uses less digits than its factorization.

220812048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 422 (or 410 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 220812048 is about 14859.7458928476. The cubic root of 220812048 is about 604.4229162403.

The spelling of 220812048 in words is "two hundred twenty million, eight hundred twelve thousand, forty-eight".