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2299289344 = 28113126339
BaseRepresentation
bin1000100100001100…
…0101111100000000
312221020112000000121
42021003011330000
514202104224334
61020053430024
7110656431322
oct21103057400
95836460017
102299289344
11a7a986130
1254203b314
132a8486851
1417b525612
15d6cd0db4
hex890c5f00

2299289344 has 72 divisors (see below), whose sum is σ = 5168540160. Its totient is φ = 1011379200.

The previous prime is 2299289339. The next prime is 2299289353. The reversal of 2299289344 is 4439829922.

It is a junction number, because it is equal to n+sod(n) for n = 2299289291 and 2299289300.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 74127 + ... + 100465.

It is an arithmetic number, because the mean of its divisors is an integer number (71785280).

Almost surely, 22299289344 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 2299289344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2584270080).

2299289344 is an abundant number, since it is smaller than the sum of its proper divisors (2869250816).

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

2299289344 is a wasteful number, since it uses less digits than its factorization.

2299289344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26397 (or 26383 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 52.

The square root of 2299289344 is about 47950.9055597493. The cubic root of 2299289344 is about 1319.8701555782.

The spelling of 2299289344 in words is "two billion, two hundred ninety-nine million, two hundred eighty-nine thousand, three hundred forty-four".

Divisors: 1 2 4 8 11 16 22 31 32 44 62 64 88 124 128 176 248 256 341 352 496 682 704 992 1364 1408 1984 2728 2816 3968 5456 7936 10912 21824 26339 43648 52678 87296 105356 210712 289729 421424 579458 816509 842848 1158916 1633018 1685696 2317832 3266036 3371392 4635664 6532072 6742784 8981599 9271328 13064144 17963198 18542656 26128288 35926396 37085312 52256576 71852792 74170624 104513152 143705584 209026304 287411168 574822336 1149644672 2299289344