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2638228362 = 237119715881
BaseRepresentation
bin1001110101000000…
…0010101110001010
320210212021212221120
42131100002232022
520400341301422
61113442220110
7122243366610
oct23520025612
96725255846
102638228362
111134236020
12617654636
13330769293
141b05536b0
1510693245c
hex9d402b8a

2638228362 has 64 divisors (see below), whose sum is σ = 6586334208. Its totient is φ = 684432000.

The previous prime is 2638228349. The next prime is 2638228391.

2638228362 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×26382283622 = 13920497780122406088, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

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 31 ways as a sum of consecutive naturals, for example, 445662 + ... + 451542.

It is an arithmetic number, because the mean of its divisors is an integer number (102911472).

Almost surely, 22638228362 is an apocalyptic number.

2638228362 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2638228362, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3293167104).

2638228362 is an abundant number, since it is smaller than the sum of its proper divisors (3948105846).

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

2638228362 is a wasteful number, since it uses less digits than its factorization.

2638228362 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6875.

The product of its digits is 331776, while the sum is 42.

The square root of 2638228362 is about 51363.6871924125. The cubic root of 2638228362 is about 1381.7754160018.

The spelling of 2638228362 in words is "two billion, six hundred thirty-eight million, two hundred twenty-eight thousand, three hundred sixty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 154 231 462 971 1942 2913 5826 5881 6797 10681 11762 13594 17643 20391 21362 32043 35286 40782 41167 64086 64691 74767 82334 123501 129382 149534 194073 224301 247002 388146 448602 452837 905674 1358511 2717022 5710451 11420902 17131353 34262706 39973157 62814961 79946314 119919471 125629922 188444883 239838942 376889766 439704727 879409454 1319114181 2638228362