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114272226 = 23213814597
BaseRepresentation
bin1101100111110…
…10011111100010
321222000122000200
412303322133202
5213223202401
615201130030
72555204115
oct663723742
9258018020
10114272226
115955a462
1232329916
131a89cb03
141126857c
15a073686
hex6cfa7e2

114272226 has 24 divisors (see below), whose sum is σ = 247823004. Its totient is φ = 38054880.

The previous prime is 114272183. The next prime is 114272233. The reversal of 114272226 is 622272411.

114272226 is a `hidden beast` number, since 11 + 427 + 2 + 226 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 105575625 + 8696601 = 10275^2 + 2949^2 .

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 114272226.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 22560 + ... + 27156.

Almost surely, 2114272226 is an apocalyptic number.

114272226 is an abundant number, since it is smaller than the sum of its proper divisors (133550778).

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

114272226 is a wasteful number, since it uses less digits than its factorization.

114272226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5986 (or 5983 counting only the distinct ones).

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

The square root of 114272226 is about 10689.8188010836. The cubic root of 114272226 is about 485.2664083534.

The spelling of 114272226 in words is "one hundred fourteen million, two hundred seventy-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 1381 2762 4143 4597 8286 9194 12429 13791 24858 27582 41373 82746 6348457 12696914 19045371 38090742 57136113 114272226