220650144 has 96 divisors (see below), whose sum is σ = 680508864. Its totient is φ = 61716480.

The previous prime is 220650139. The next prime is 220650149. The reversal of 220650144 is 441056022.

It is an interprime number because it is at equal distance from previous prime (220650139) and next prime (220650149).

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (220650149) 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 15 ways as a sum of consecutive naturals, for example, 5692 + ... + 21764.

It is an arithmetic number, because the mean of its divisors is an integer number (7088634).

Almost surely, 2^220650144 is an apocalyptic number.

220650144 is a gapful number since it is divisible by the number (24) 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 220650144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340254432).

220650144 is an abundant number, since it is smaller than the sum of its proper divisors (459858720).

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

220650144 is a wasteful number, since it uses less digits than its factorization.

220650144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16110 (or 16102 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 220650144 is about 14854.2971560421. The cubic root of 220650144 is about 604.2751549568.

The spelling of 220650144 in words is "two hundred twenty million, six hundred fifty thousand, one hundred forty-four".