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2271027264 = 263113134687
BaseRepresentation
bin1000011101011101…
…0010000001000000
312212021100010201220
42013113102001000
514122340333024
61013203555040
7110164261512
oct20727220100
95767303656
102271027264
11a65a32440
1253468ba80
132a266c91c
14177889bb2
15d459be79
hex875d2040

2271027264 has 112 divisors (see below), whose sum is σ = 6766657536. Its totient is φ = 665971200.

The previous prime is 2271027257. The next prime is 2271027271. The reversal of 2271027264 is 4627201722.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2271027257) and next prime (2271027271).

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 48129 + ... + 82815.

Almost surely, 22271027264 is an apocalyptic number.

2271027264 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2271027264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3383328768).

2271027264 is an abundant number, since it is smaller than the sum of its proper divisors (4495630272).

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

2271027264 is a wasteful number, since it uses less digits than its factorization.

2271027264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34744 (or 34734 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 33.

The square root of 2271027264 is about 47655.2962848832. The cubic root of 2271027264 is about 1314.4400482368.

Adding to 2271027264 its reverse (4627201722), we get a palindrome (6898228986).

The spelling of 2271027264 in words is "two billion, two hundred seventy-one million, twenty-seven thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 31 32 33 44 48 62 64 66 88 93 96 124 132 176 186 192 248 264 341 352 372 496 528 682 704 744 992 1023 1056 1364 1488 1984 2046 2112 2728 2976 4092 5456 5952 8184 10912 16368 21824 32736 34687 65472 69374 104061 138748 208122 277496 381557 416244 554992 763114 832488 1075297 1109984 1144671 1526228 1664976 2150594 2219968 2289342 3052456 3225891 3329952 4301188 4578684 6104912 6451782 6659904 8602376 9157368 11828267 12209824 12903564 17204752 18314736 23656534 24419648 25807128 34409504 35484801 36629472 47313068 51614256 68819008 70969602 73258944 94626136 103228512 141939204 189252272 206457024 283878408 378504544 567756816 757009088 1135513632 2271027264