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2142887166 = 232779215279
BaseRepresentation
bin111111110111001…
…1101110011111110
312112100012221120100
41333232131303332
513342034342131
6552345301530
7104050145310
oct17756356376
95470187510
102142887166
119aa670932
124b97948a6
13281c55894
141648517b0
15c81d97e6
hex7fb9dcfe

2142887166 has 48 divisors (see below), whose sum is σ = 5373388800. Its totient is φ = 604500624.

The previous prime is 2142887147. The next prime is 2142887221. The reversal of 2142887166 is 6617882412.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 97686 + ... + 117593.

It is an arithmetic number, because the mean of its divisors is an integer number (111945600).

Almost surely, 22142887166 is an apocalyptic number.

2142887166 is an abundant number, since it is smaller than the sum of its proper divisors (3230501634).

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

2142887166 is a wasteful number, since it uses less digits than its factorization.

2142887166 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 215373 (or 215370 counting only the distinct ones).

The product of its digits is 258048, while the sum is 45.

The square root of 2142887166 is about 46291.3292744980. The cubic root of 2142887166 is about 1289.2380104184.

The spelling of 2142887166 in words is "two billion, one hundred forty-two million, eight hundred eighty-seven thousand, one hundred sixty-six".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 79 126 158 237 474 553 711 1106 1422 1659 3318 4977 9954 215279 430558 645837 1291674 1506953 1937511 3013906 3875022 4520859 9041718 13562577 17007041 27125154 34014082 51021123 102042246 119049287 153063369 238098574 306126738 357147861 714295722 1071443583 2142887166