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2312263408 = 2471339397
BaseRepresentation
bin1000100111010010…
…0101011011110000
312222010221011002111
42021310211123300
514213414412113
61021235455104
7111204625510
oct21164453360
95863834074
102312263408
11a872377a4
12546457494
132ab07a000
1417d141840
15d7ee513d
hex89d256f0

2312263408 has 80 divisors (see below), whose sum is σ = 5547075520. Its totient is φ = 914644224.

The previous prime is 2312263391. The next prime is 2312263417. The reversal of 2312263408 is 8043622132.

It is a self number, because there is not a number n which added to its sum of digits gives 2312263408.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 241366 + ... + 250762.

It is an arithmetic number, because the mean of its divisors is an integer number (69338444).

Almost surely, 22312263408 is an apocalyptic number.

2312263408 is a gapful number since it is divisible by the number (28) 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 2312263408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2773537760).

2312263408 is an abundant number, since it is smaller than the sum of its proper divisors (3234812112).

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

2312263408 is an equidigital number, since it uses as much as digits as its factorization.

2312263408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9451 (or 9419 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 31.

The square root of 2312263408 is about 48086.0001247764. Note that the first 3 decimals coincide. The cubic root of 2312263408 is about 1322.3480185983.

The spelling of 2312263408 in words is "two billion, three hundred twelve million, two hundred sixty-three thousand, four hundred eight".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 169 182 208 338 364 676 728 1183 1352 1456 2197 2366 2704 4394 4732 8788 9397 9464 15379 17576 18794 18928 30758 35152 37588 61516 65779 75176 122161 123032 131558 150352 244322 246064 263116 488644 526232 855127 977288 1052464 1588093 1710254 1954576 3176186 3420508 6352372 6841016 11116651 12704744 13682032 20645209 22233302 25409488 41290418 44466604 82580836 88933208 144516463 165161672 177866416 289032926 330323344 578065852 1156131704 2312263408