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2275451568 = 243313419967
BaseRepresentation
bin1000011110100000…
…1010001010110000
312212120122220202000
42013220022022300
514130003422233
61013442454000
7110250006405
oct20750121260
95776586660
102275451568
11a68484495
12536064300
132a355b660
141782bc2ac
15d4b72d13
hex87a0a2b0

2275451568 has 160 divisors (see below), whose sum is σ = 7057881600. Its totient is φ = 697745664.

The previous prime is 2275451551. The next prime is 2275451573. The reversal of 2275451568 is 8651545722.

2275451568 is a `hidden beast` number, since 2 + 2 + 75 + 4 + 515 + 68 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2352621 + ... + 2353587.

It is an arithmetic number, because the mean of its divisors is an integer number (44111760).

Almost surely, 22275451568 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 2275451568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3528940800).

2275451568 is an abundant number, since it is smaller than the sum of its proper divisors (4782430032).

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

2275451568 is a wasteful number, since it uses less digits than its factorization.

2275451568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1416 (or 1404 counting only the distinct ones).

The product of its digits is 672000, while the sum is 45.

The square root of 2275451568 is about 47701.6935548414. The cubic root of 2275451568 is about 1315.2930704290.

The spelling of 2275451568 in words is "two billion, two hundred seventy-five million, four hundred fifty-one thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 36 39 48 52 54 72 78 104 108 117 144 156 208 216 234 312 351 419 432 468 624 702 838 936 967 1257 1404 1676 1872 1934 2514 2808 2901 3352 3771 3868 5028 5447 5616 5802 6704 7542 7736 8703 10056 10894 11313 11604 12571 15084 15472 16341 17406 20112 21788 22626 23208 25142 26109 30168 32682 34812 37713 43576 45252 46416 49023 50284 52218 60336 65364 69624 75426 87152 90504 98046 100568 104436 113139 130728 139248 147069 150852 181008 196092 201136 208872 226278 261456 294138 301704 339417 392184 405173 417744 452556 588276 603408 678834 784368 810346 905112 1176552 1215519 1357668 1620692 1810224 2353104 2431038 2715336 3241384 3646557 4862076 5267249 5430672 6482768 7293114 9724152 10534498 10939671 14586228 15801747 19448304 21068996 21879342 29172456 31603494 42137992 43758684 47405241 58344912 63206988 84275984 87517368 94810482 126413976 142215723 175034736 189620964 252827952 284431446 379241928 568862892 758483856 1137725784 2275451568