220144760 has 64 divisors (see below), whose sum is σ = 541987200. Its totient is φ = 79811200.

The previous prime is 220144739. The next prime is 220144777. The reversal of 220144760 is 67441022.

220144760 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 215531 + ... + 216549.

It is an arithmetic number, because the mean of its divisors is an integer number (8468550).

Almost surely, 2^220144760 is an apocalyptic number.

220144760 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 220144760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270993600).

220144760 is an abundant number, since it is smaller than the sum of its proper divisors (321842440).

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

220144760 is a wasteful number, since it uses less digits than its factorization.

220144760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1532 (or 1528 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 26.

The square root of 220144760 is about 14837.2760303231. The cubic root of 220144760 is about 603.8134520312.

Adding to 220144760 its reverse (67441022), we get a palindrome (287585782).

The spelling of 220144760 in words is "two hundred twenty million, one hundred forty-four thousand, seven hundred sixty".