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2238012288 = 27331275099
BaseRepresentation
bin1000010101100101…
…0101101110000000
312202222012210201000
42011121111232000
514040412343123
61010024212000
7106313535111
oct20531255600
95688183630
102238012288
11a49332836
1252560a000
13298880535
14173334208
15d1729b43
hex85655b80

2238012288 has 128 divisors (see below), whose sum is σ = 6658560000. Its totient is φ = 739984896.

The previous prime is 2238012269. The next prime is 2238012341. The reversal of 2238012288 is 8822108322.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 436363 + ... + 441461.

It is an arithmetic number, because the mean of its divisors is an integer number (52020000).

Almost surely, 22238012288 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 2238012288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3329280000).

2238012288 is an abundant number, since it is smaller than the sum of its proper divisors (4420547712).

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

2238012288 is a wasteful number, since it uses less digits than its factorization.

2238012288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5249 (or 5231 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 36.

The square root of 2238012288 is about 47307.6345635670. The cubic root of 2238012288 is about 1308.0393894375.

The spelling of 2238012288 in words is "two billion, two hundred thirty-eight million, twelve thousand, two hundred eighty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 48 54 64 72 96 108 127 128 144 192 216 254 288 381 384 432 508 576 762 864 1016 1143 1152 1524 1728 2032 2286 3048 3429 3456 4064 4572 5099 6096 6858 8128 9144 10198 12192 13716 15297 16256 18288 20396 24384 27432 30594 36576 40792 45891 48768 54864 61188 73152 81584 91782 109728 122376 137673 146304 163168 183564 219456 244752 275346 326336 367128 438912 489504 550692 647573 652672 734256 979008 1101384 1295146 1468512 1942719 1958016 2202768 2590292 2937024 3885438 4405536 5180584 5828157 5874048 7770876 8811072 10361168 11656314 15541752 17484471 17622144 20722336 23312628 31083504 34968942 41444672 46625256 62167008 69937884 82889344 93250512 124334016 139875768 186501024 248668032 279751536 373002048 559503072 746004096 1119006144 2238012288