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2117233422 = 232196319811
BaseRepresentation
bin111111000110010…
…0110101100001110
312110112221121020200
41332030212230032
513314002432142
6550031354330
7103316121123
oct17614465416
95415847220
102117233422
11997139897
124b10829a6
13279842c55
1416129474a
15c5d1d64c
hex7e326b0e

2117233422 has 48 divisors (see below), whose sum is σ = 4836923520. Its totient is φ = 667472400.

The previous prime is 2117233409. The next prime is 2117233477. The reversal of 2117233422 is 2243327112.

2117233422 is a `hidden beast` number, since 2 + 1 + 1 + 7 + 233 + 422 = 666.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 210897 + ... + 220707.

It is an arithmetic number, because the mean of its divisors is an integer number (100769240).

Almost surely, 22117233422 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2117233422, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2418461760).

2117233422 is an abundant number, since it is smaller than the sum of its proper divisors (2719690098).

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

2117233422 is a wasteful number, since it uses less digits than its factorization.

2117233422 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10469 (or 10466 counting only the distinct ones).

The product of its digits is 4032, while the sum is 27.

The square root of 2117233422 is about 46013.4048077297. The cubic root of 2117233422 is about 1284.0726041281.

The spelling of 2117233422 in words is "two billion, one hundred seventeen million, two hundred thirty-three thousand, four hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 114 171 342 631 1262 1893 3786 5679 9811 11358 11989 19622 23978 29433 35967 58866 71934 88299 107901 176598 186409 215802 372818 559227 1118454 1677681 3355362 6190741 12381482 18572223 37144446 55716669 111433338 117624079 235248158 352872237 705744474 1058616711 2117233422