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2281916076 = 2231131975749
BaseRepresentation
bin1000100000000011…
…0100011010101100
312220000211100101020
42020000310122230
514133132303301
61014233214140
7110355652356
oct21000643254
95800740336
102281916076
11a7109a360
12538261350
132a49b2bcb
141790c20d6
15d54ed436
hex880346ac

2281916076 has 96 divisors (see below), whose sum is σ = 6058752000. Its totient is φ = 662169600.

The previous prime is 2281916057. The next prime is 2281916099. The reversal of 2281916076 is 6706191822.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 394050 + ... + 399798.

It is an arithmetic number, because the mean of its divisors is an integer number (63112000).

Almost surely, 22281916076 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 2281916076, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3029376000).

2281916076 is an abundant number, since it is smaller than the sum of its proper divisors (3776835924).

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

2281916076 is a wasteful number, since it uses less digits than its factorization.

2281916076 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5895 (or 5893 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 42.

The square root of 2281916076 is about 47769.4052297074. The cubic root of 2281916076 is about 1316.5374656608.

The spelling of 2281916076 in words is "two billion, two hundred eighty-one million, nine hundred sixteen thousand, seventy-six".

Divisors: 1 2 3 4 6 11 12 22 31 33 44 62 66 93 97 124 132 186 194 291 341 372 388 582 682 1023 1067 1164 1364 2046 2134 3007 3201 4092 4268 5749 6014 6402 9021 11498 12028 12804 17247 18042 22996 33077 34494 36084 63239 66154 68988 99231 126478 132308 178219 189717 198462 252956 356438 379434 396924 534657 557653 712876 758868 1069314 1115306 1672959 1960409 2138628 2230612 3345918 3920818 5881227 6134183 6691836 7841636 11762454 12268366 17287243 18402549 23524908 24536732 34574486 36805098 51861729 69148972 73610196 103723458 190159673 207446916 380319346 570479019 760638692 1140958038 2281916076