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220142718 = 23331131507
BaseRepresentation
bin11010001111100…
…01110001111110
3120100020102001000
431013301301332
5422324031333
633502231130
75312116335
oct1507616176
9510212030
10220142718
111032a0534
12618854a6
13367ba683
1421346d1c
15144d7713
hexd1f1c7e

220142718 has 32 divisors (see below), whose sum is σ = 504990720. Its totient is φ = 71013240.

The previous prime is 220142677. The next prime is 220142719. The reversal of 220142718 is 817241022.

220142718 is a `hidden beast` number, since 220 + 1 + 427 + 18 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 220142691 and 220142700.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (220142719) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64080 + ... + 67427.

It is an arithmetic number, because the mean of its divisors is an integer number (15780960).

Almost surely, 2220142718 is an apocalyptic number.

220142718 is an abundant number, since it is smaller than the sum of its proper divisors (284848002).

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

220142718 is a wasteful number, since it uses less digits than its factorization.

220142718 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131549 (or 131543 counting only the distinct ones).

The product of its (nonzero) digits is 1792, while the sum is 27.

The square root of 220142718 is about 14837.2072169934. The cubic root of 220142718 is about 603.8115850916.

The spelling of 220142718 in words is "two hundred twenty million, one hundred forty-two thousand, seven hundred eighteen".

Divisors: 1 2 3 6 9 18 27 31 54 62 93 186 279 558 837 1674 131507 263014 394521 789042 1183563 2367126 3550689 4076717 7101378 8153434 12230151 24460302 36690453 73380906 110071359 220142718