220991148 has 144 divisors (see below), whose sum is σ = 665211456. Its totient is φ = 60549120.

The previous prime is 220991119. The next prime is 220991149. The reversal of 220991148 is 841199022.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (220991149) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 754090 + ... + 754382.

It is an arithmetic number, because the mean of its divisors is an integer number (4619524).

Almost surely, 2^220991148 is an apocalyptic number.

220991148 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 220991148, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (332605728).

220991148 is an abundant number, since it is smaller than the sum of its proper divisors (444220308).

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

220991148 is a wasteful number, since it uses less digits than its factorization.

220991148 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 424 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 36.

The square root of 220991148 is about 14865.7710193585. The cubic root of 220991148 is about 604.5862872925.

The spelling of 220991148 in words is "two hundred twenty million, nine hundred ninety-one thousand, one hundred forty-eight".