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2288138616 = 2332199159697
BaseRepresentation
bin1000100001100010…
…0011100101111000
312220110112111002200
42020120203211320
514141230413431
61015014430200
7110462600031
oct21030434570
95813474080
102288138616
11a7465a455
1253a362360
132a608129a
14179c61a88
15d5d2bee6
hex88623978

2288138616 has 48 divisors (see below), whose sum is σ = 6228222000. Its totient is φ = 758875392.

The previous prime is 2288138549. The next prime is 2288138659. The reversal of 2288138616 is 6168318822.

2288138616 is a `hidden beast` number, since 2 + 28 + 8 + 1 + 3 + 8 + 616 = 666.

It is a nude number because it is divisible by every one of its digits.

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, 65521 + ... + 94176.

It is an arithmetic number, because the mean of its divisors is an integer number (129754625).

Almost surely, 22288138616 is an apocalyptic number.

It is an amenable number.

2288138616 is an abundant number, since it is smaller than the sum of its proper divisors (3940083384).

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

2288138616 is a wasteful number, since it uses less digits than its factorization.

2288138616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159908 (or 159901 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 2288138616 is about 47834.4919069911. The cubic root of 2288138616 is about 1317.7330649740.

The spelling of 2288138616 in words is "two billion, two hundred eighty-eight million, one hundred thirty-eight thousand, six hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 199 398 597 796 1194 1592 1791 2388 3582 4776 7164 14328 159697 319394 479091 638788 958182 1277576 1437273 1916364 2874546 3832728 5749092 11498184 31779703 63559406 95339109 127118812 190678218 254237624 286017327 381356436 572034654 762712872 1144069308 2288138616