Search a number
-
+
220668264 = 23329413257
BaseRepresentation
bin11010010011100…
…10000101101000
3120101020002221200
431021302011220
5422442341024
633521404200
75316435465
oct1511620550
9511202850
10220668264
1110361a373
1261a99660
133694294b
142144266c
151458d2c9
hexd272168

220668264 has 48 divisors (see below), whose sum is σ = 598462020. Its totient is φ = 73455360.

The previous prime is 220668209. The next prime is 220668271. The reversal of 220668264 is 462866022.

It can be written as a sum of positive squares in 2 ways, for example, as 206152164 + 14516100 = 14358^2 + 3810^2 .

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 66124 + ... + 69380.

Almost surely, 2220668264 is an apocalyptic number.

220668264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

220668264 is an abundant number, since it is smaller than the sum of its proper divisors (377793756).

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

220668264 is a wasteful number, since it uses less digits than its factorization.

220668264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4210 (or 4203 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

The square root of 220668264 is about 14854.9070680365. The cubic root of 220668264 is about 604.2916957212.

The spelling of 220668264 in words is "two hundred twenty million, six hundred sixty-eight thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 941 1882 2823 3257 3764 5646 6514 7528 8469 9771 11292 13028 16938 19542 22584 26056 29313 33876 39084 58626 67752 78168 117252 234504 3064837 6129674 9194511 12259348 18389022 24518696 27583533 36778044 55167066 73556088 110334132 220668264