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2112311992 = 23731814253
BaseRepresentation
bin111110111100111…
…0101001010111000
312110012200120022111
41331321311022320
513311222440432
6545334102104
7103226233000
oct17571651270
95405616274
102112311992
1199438829a
124ab4aa934
1327880bb6b
14160773000
15c569a347
hex7de752b8

2112311992 has 64 divisors (see below), whose sum is σ = 4645368000. Its totient is φ = 900063360.

The previous prime is 2112311963. The next prime is 2112312001. The reversal of 2112311992 is 2991132112.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 494538 + ... + 498790.

It is an arithmetic number, because the mean of its divisors is an integer number (72583875).

Almost surely, 22112311992 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112311992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2322684000).

2112311992 is an abundant number, since it is smaller than the sum of its proper divisors (2533056008).

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

2112311992 is a wasteful number, since it uses less digits than its factorization.

2112311992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4461 (or 4443 counting only the distinct ones).

The product of its digits is 1944, while the sum is 31.

The square root of 2112311992 is about 45959.8954742066. The cubic root of 2112311992 is about 1283.0769059742.

The spelling of 2112311992 in words is "two billion, one hundred twelve million, three hundred eleven thousand, nine hundred ninety-two".

Divisors: 1 2 4 7 8 14 28 49 56 98 181 196 343 362 392 686 724 1267 1372 1448 2534 2744 4253 5068 8506 8869 10136 17012 17738 29771 34024 35476 59542 62083 70952 119084 124166 208397 238168 248332 416794 496664 769793 833588 1458779 1539586 1667176 2917558 3079172 5388551 5835116 6158344 10777102 11670232 21554204 37719857 43108408 75439714 150879428 264038999 301758856 528077998 1056155996 2112311992