Search a number
-
+
220114020 = 22357524081
BaseRepresentation
bin11010001111010…
…10110001100100
3120100011221200010
431013222301210
5422322122040
633501450220
75311636560
oct1507526144
9510157603
10220114020
11103280a15
1261870970
13367aa5a9
142133a6a0
15144cde80
hexd1eac64

220114020 has 48 divisors (see below), whose sum is σ = 704366208. Its totient is φ = 50311680.

The previous prime is 220114009. The next prime is 220114021. The reversal of 220114020 is 20411022.

220114020 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 (12).

It is a junction number, because it is equal to n+sod(n) for n = 220113987 and 220114005.

It is not an unprimeable number, because it can be changed into a prime (220114021) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261621 + ... + 262460.

It is an arithmetic number, because the mean of its divisors is an integer number (14674296).

Almost surely, 2220114020 is an apocalyptic number.

220114020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

220114020 is an abundant number, since it is smaller than the sum of its proper divisors (484252188).

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

220114020 is a wasteful number, since it uses less digits than its factorization.

220114020 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 524100 (or 524098 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

The square root of 220114020 is about 14836.2400897262. The cubic root of 220114020 is about 603.7853461468.

Adding to 220114020 its reverse (20411022), we get a palindrome (240525042).

The spelling of 220114020 in words is "two hundred twenty million, one hundred fourteen thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 524081 1048162 1572243 2096324 2620405 3144486 3668567 5240810 6288972 7337134 7861215 10481620 11005701 14674268 15722430 18342835 22011402 31444860 36685670 44022804 55028505 73371340 110057010 220114020