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2221742106 = 232123430117
BaseRepresentation
bin1000010001101101…
…0001100000011010
312201211121012012200
42010123101200122
514022231221411
61004243351030
7106025332143
oct20433214032
95654535180
102221742106
11a4012a801
12520082476
132953a49cc
141710daaca
15d00b3e56
hex846d181a

2221742106 has 12 divisors (see below), whose sum is σ = 4813774602. Its totient is φ = 740580696.

The previous prime is 2221742101. The next prime is 2221742119. The reversal of 2221742106 is 6012471222.

2221742106 is a `hidden beast` number, since 22 + 217 + 421 + 0 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1406925081 + 814817025 = 37509^2 + 28545^2 .

It is a super-2 number, since 2×22217421062 = 9872275971146630472, which contains 22 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 2221742106.

It is not an unprimeable number, because it can be changed into a prime (2221742101) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 61715041 + ... + 61715076.

Almost surely, 22221742106 is an apocalyptic number.

2221742106 is an abundant number, since it is smaller than the sum of its proper divisors (2592032496).

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

2221742106 is a wasteful number, since it uses less digits than its factorization.

2221742106 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 123430125 (or 123430122 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 2221742106 is about 47135.3594024698. The cubic root of 2221742106 is about 1304.8618940475.

The spelling of 2221742106 in words is "two billion, two hundred twenty-one million, seven hundred forty-two thousand, one hundred six".

Divisors: 1 2 3 6 9 18 123430117 246860234 370290351 740580702 1110871053 2221742106