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2328796224 = 26332714973
BaseRepresentation
bin1000101011001110…
…1001110001000000
320000022001002212000
42022303221301000
514232132434344
61023030104000
7111465304236
oct21263516100
96008032760
102328796224
11a955aa087
1254baab000
132b1618241
14181406956
15d96ada69
hex8ace9c40

2328796224 has 112 divisors (see below), whose sum is σ = 6872874240. Its totient is φ = 773245440.

The previous prime is 2328796213. The next prime is 2328796247. The reversal of 2328796224 is 4226978232.

It is a self number, because there is not a number n which added to its sum of digits gives 2328796224.

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 15 ways as a sum of consecutive naturals, for example, 465802 + ... + 470774.

Almost surely, 22328796224 is an apocalyptic number.

2328796224 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 2328796224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3436437120).

2328796224 is an abundant number, since it is smaller than the sum of its proper divisors (4544078016).

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

2328796224 is a wasteful number, since it uses less digits than its factorization.

2328796224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5265 (or 5249 counting only the distinct ones).

The product of its digits is 580608, while the sum is 45.

The square root of 2328796224 is about 48257.6027585291. The cubic root of 2328796224 is about 1325.4921582641.

The spelling of 2328796224 in words is "two billion, three hundred twenty-eight million, seven hundred ninety-six thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 144 192 216 271 288 432 542 576 813 864 1084 1626 1728 2168 2439 3252 4336 4878 4973 6504 7317 8672 9756 9946 13008 14634 14919 17344 19512 19892 26016 29268 29838 39024 39784 44757 52032 58536 59676 78048 79568 89514 117072 119352 134271 156096 159136 179028 234144 238704 268542 318272 358056 468288 477408 537084 716112 954816 1074168 1347683 1432224 2148336 2695366 2864448 4043049 4296672 5390732 8086098 8593344 10781464 12129147 16172196 21562928 24258294 32344392 36387441 43125856 48516588 64688784 72774882 86251712 97033176 129377568 145549764 194066352 258755136 291099528 388132704 582199056 776265408 1164398112 2328796224