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2286064816 = 2473715867
BaseRepresentation
bin1000100001000010…
…1001010010110000
312220022122010101021
42020100221102300
514140213033231
61014502145224
7110436142000
oct21020512260
95808563337
102286064816
11a73473372
12539722214
132a5806399
14179882000
15d5a6c811
hex884294b0

2286064816 has 80 divisors (see below), whose sum is σ = 5238950400. Its totient is φ = 965778240.

The previous prime is 2286064813. The next prime is 2286064831. The reversal of 2286064816 is 6184606822.

It is a super-2 number, since 2×22860648162 = 10452184685906227712, which contains 22 as substring.

It is a hoax number, since the sum of its digits (43) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (2286064811) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 386715 + ... + 392581.

It is an arithmetic number, because the mean of its divisors is an integer number (65486880).

Almost surely, 22286064816 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 2286064816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2619475200).

2286064816 is an abundant number, since it is smaller than the sum of its proper divisors (2952885584).

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

2286064816 is an equidigital number, since it uses as much as digits as its factorization.

2286064816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5967 (or 5947 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 43.

The square root of 2286064816 is about 47812.8101663142. The cubic root of 2286064816 is about 1317.3348459727.

The spelling of 2286064816 in words is "two billion, two hundred eighty-six million, sixty-four thousand, eight hundred sixteen".

Divisors: 1 2 4 7 8 14 16 28 49 56 71 98 112 142 196 284 343 392 497 568 686 784 994 1136 1372 1988 2744 3479 3976 5488 5867 6958 7952 11734 13916 23468 24353 27832 41069 46936 48706 55664 82138 93872 97412 164276 194824 287483 328552 389648 416557 574966 657104 833114 1149932 1666228 2012381 2299864 2915899 3332456 4024762 4599728 5831798 6664912 8049524 11663596 16099048 20411293 23327192 32198096 40822586 46654384 81645172 142879051 163290344 285758102 326580688 571516204 1143032408 2286064816