220114368 has 224 divisors, whose sum is σ = 702259200. Its totient is φ = 67350528.

The previous prime is 220114357. The next prime is 220114397. The reversal of 220114368 is 863411022.

220114368 is a `hidden beast` number, since 220 + 1 + 1 + 436 + 8 = 666.

220114368 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1733121 + ... + 1733247.

Almost surely, 2^220114368 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 220114368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351129600).

220114368 is an abundant number, since it is smaller than the sum of its proper divisors (482144832).

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

220114368 is a wasteful number, since it uses less digits than its factorization.

220114368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 224 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 220114368 is about 14836.2518177604. The cubic root of 220114368 is about 603.7856643413.

The spelling of 220114368 in words is "two hundred twenty million, one hundred fourteen thousand, three hundred sixty-eight".