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2166169140 = 2232512034273
BaseRepresentation
bin1000000100011101…
…0001111000110100
312120222000210102200
42001013101320310
513414014403030
6554540304500
7104452063632
oct20107217064
95528023380
102166169140
11a11822a33
12505542130
13286a17ab5
14167992352
15ca287d60
hex811d1e34

2166169140 has 36 divisors (see below), whose sum is σ = 6570713604. Its totient is φ = 577645056.

The previous prime is 2166169139. The next prime is 2166169151. The reversal of 2166169140 is 419616612.

2166169140 is a `hidden beast` number, since 21 + 6 + 616 + 9 + 14 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 1180334736 + 985834404 = 34356^2 + 31398^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 2166169095 and 2166169104.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 6016957 + ... + 6017316.

Almost surely, 22166169140 is an apocalyptic number.

2166169140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166169140 is an abundant number, since it is smaller than the sum of its proper divisors (4404544464).

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

2166169140 is a wasteful number, since it uses less digits than its factorization.

2166169140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12034288 (or 12034283 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The square root of 2166169140 is about 46542.1222120350. The cubic root of 2166169140 is about 1293.8902932648.

The spelling of 2166169140 in words is "two billion, one hundred sixty-six million, one hundred sixty-nine thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 180 12034273 24068546 36102819 48137092 60171365 72205638 108308457 120342730 144411276 180514095 216616914 240685460 361028190 433233828 541542285 722056380 1083084570 2166169140