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220066220 = 225114721283
BaseRepresentation
bin11010001110111…
…11000110101100
3120100002112002202
431013133012230
5422314104340
633500441032
75311350323
oct1507370654
9510075082
10220066220
11103249010
1261849178
13367918ca
14213270ba
15144bec15
hexd1df1ac

220066220 has 48 divisors (see below), whose sum is σ = 514902528. Its totient is φ = 78317760.

The previous prime is 220066219. The next prime is 220066237. The reversal of 220066220 is 22660022.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 220066192 and 220066201.

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, 302 + ... + 20981.

It is an arithmetic number, because the mean of its divisors is an integer number (10727136).

Almost surely, 2220066220 is an apocalyptic number.

220066220 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 220066220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (257451264).

220066220 is an abundant number, since it is smaller than the sum of its proper divisors (294836308).

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

220066220 is a wasteful number, since it uses less digits than its factorization.

220066220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21350 (or 21348 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

The square root of 220066220 is about 14834.6290819825. The cubic root of 220066220 is about 603.7416369381.

The spelling of 220066220 in words is "two hundred twenty million, sixty-six thousand, two hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 47 55 94 110 188 220 235 470 517 940 1034 2068 2585 5170 10340 21283 42566 85132 106415 212830 234113 425660 468226 936452 1000301 1170565 2000602 2341130 4001204 4682260 5001505 10003010 11003311 20006020 22006622 44013244 55016555 110033110 220066220