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2261060568 = 2337139941
BaseRepresentation
bin1000011011000101…
…0000101111011000
312211120120210000000
42012301100233120
514112312414233
61012210213000
7110013461214
oct20661205730
95746523000
102261060568
11a603452a8
12531284160
132a0590280
14176413944
15d377dd13
hex86c50bd8

2261060568 has 128 divisors (see below), whose sum is σ = 6848049600. Its totient is φ = 695640960.

The previous prime is 2261060551. The next prime is 2261060569. The reversal of 2261060568 is 8650601622.

2261060568 is a `hidden beast` number, since 2 + 26 + 10 + 60 + 568 = 666.

It is a super-2 number, since 2×22610605682 = 10224789784328965248, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2261060569) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 222478 + ... + 232418.

Almost surely, 22261060568 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 2261060568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3424024800).

2261060568 is an abundant number, since it is smaller than the sum of its proper divisors (4586989032).

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

2261060568 is an equidigital number, since it uses as much as digits as its factorization.

2261060568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9981 (or 9959 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 2261060568 is about 47550.6105954487. The cubic root of 2261060568 is about 1312.5143652305.

The spelling of 2261060568 in words is "two billion, two hundred sixty-one million, sixty thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 27 36 39 52 54 72 78 81 104 108 117 156 162 216 234 243 312 324 351 468 486 648 702 729 936 972 1053 1404 1458 1944 2106 2187 2808 2916 3159 4212 4374 5832 6318 8424 8748 9477 9941 12636 17496 18954 19882 25272 28431 29823 37908 39764 56862 59646 75816 79528 89469 113724 119292 129233 178938 227448 238584 258466 268407 357876 387699 516932 536814 715752 775398 805221 1033864 1073628 1163097 1550796 1610442 2147256 2326194 2415663 3101592 3220884 3489291 4652388 4831326 6441768 6978582 7246989 9304776 9662652 10467873 13957164 14493978 19325304 20935746 21740967 27914328 28987956 31403619 41871492 43481934 57975912 62807238 83742984 86963868 94210857 125614476 173927736 188421714 251228952 282632571 376843428 565265142 753686856 1130530284 2261060568