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2294130048 = 27376531307
BaseRepresentation
bin1000100010111101…
…1010010110000000
312220212210212210120
42020233122112000
514144244130143
61015351100240
7110564532540
oct21057322600
95825725716
102294130048
11a77a81951
12540371680
132a739b402
1417a981320
15d6612383
hex88bda580

2294130048 has 128 divisors (see below), whose sum is σ = 6980325120. Its totient is φ = 653961216.

The previous prime is 2294130011. The next prime is 2294130079. The reversal of 2294130048 is 8400314922.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

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, 1754611 + ... + 1755917.

It is an arithmetic number, because the mean of its divisors is an integer number (54533790).

Almost surely, 22294130048 is an apocalyptic number.

2294130048 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 2294130048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490162560).

2294130048 is an abundant number, since it is smaller than the sum of its proper divisors (4686195072).

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

2294130048 is a wasteful number, since it uses less digits than its factorization.

2294130048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1984 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 33.

The square root of 2294130048 is about 47897.0776561577. The cubic root of 2294130048 is about 1318.8822125765.

The spelling of 2294130048 in words is "two billion, two hundred ninety-four million, one hundred thirty thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 336 384 448 653 672 896 1306 1307 1344 1959 2612 2614 2688 3918 3921 4571 5224 5228 7836 7842 9142 9149 10448 10456 13713 15672 15684 18284 18298 20896 20912 27426 27447 31344 31368 36568 36596 41792 41824 54852 54894 62688 62736 73136 73192 83584 83648 109704 109788 125376 125472 146272 146384 167296 219408 219576 250752 250944 292544 292768 438816 439152 501888 585088 585536 853471 877632 878304 1171072 1706942 1755264 1756608 2560413 3413884 3513216 5120826 5974297 6827768 10241652 11948594 13655536 17922891 20483304 23897188 27311072 35845782 40966608 47794376 54622144 71691564 81933216 95588752 109244288 143383128 163866432 191177504 286766256 327732864 382355008 573532512 764710016 1147065024 2294130048