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2262138944 = 261331229383
BaseRepresentation
bin1000011011010101…
…1000000001000000
312211122121120020212
42012311120001000
514113101421234
61012245253252
7110025602162
oct20665300100
95748546225
102262138944
11a60a1151a
12531704228
132a087a070
14176614932
15d38e35ce
hex86d58040

2262138944 has 112 divisors (see below), whose sum is σ = 5025054720. Its totient is φ = 1003345920.

The previous prime is 2262138937. The next prime is 2262138979. The reversal of 2262138944 is 4498312622.

It is a super-2 number, since 2×22621389442 = 10234545203922870272, which contains 22 as substring.

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, 5906177 + ... + 5906559.

It is an arithmetic number, because the mean of its divisors is an integer number (44866560).

Almost surely, 22262138944 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 2262138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2512527360).

2262138944 is an abundant number, since it is smaller than the sum of its proper divisors (2762915776).

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

2262138944 is a wasteful number, since it uses less digits than its factorization.

2262138944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 668 (or 658 counting only the distinct ones).

The product of its digits is 165888, while the sum is 41.

The square root of 2262138944 is about 47561.9484882611. The cubic root of 2262138944 is about 1312.7229928477.

The spelling of 2262138944 in words is "two billion, two hundred sixty-two million, one hundred thirty-eight thousand, nine hundred forty-four".

Divisors: 1 2 4 8 13 16 26 31 32 52 62 64 104 124 208 229 248 383 403 416 458 496 766 806 832 916 992 1532 1612 1832 1984 2977 3064 3224 3664 4979 5954 6128 6448 7099 7328 9958 11873 11908 12256 12896 14198 14656 19916 23746 23816 24512 25792 28396 39832 47492 47632 56792 79664 87707 92287 94984 95264 113584 154349 159328 175414 184574 189968 190528 227168 308698 318656 350828 369148 379936 454336 617396 701656 738296 759872 1140191 1234792 1403312 1476592 2280382 2469584 2718917 2806624 2953184 4560764 4939168 5437834 5613248 5906368 9121528 9878336 10875668 18243056 21751336 35345921 36486112 43502672 70691842 72972224 87005344 141383684 174010688 282767368 565534736 1131069472 2262138944