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2293723328 = 26134758657
BaseRepresentation
bin1000100010110111…
…0111000011000000
312220212001012212212
42020231313003000
514144143121303
61015334241252
7110561220011
oct21055670300
95825035785
102293723328
11a77824316
125401b6228
132a7288250
1417a8b7008
15d6581ad8
hex88b770c0

2293723328 has 56 divisors (see below), whose sum is σ = 5006108352. Its totient is φ = 1036099584.

The previous prime is 2293723321. The next prime is 2293723337. The reversal of 2293723328 is 8233273922.

It is a super-2 number, since 2×22937233282 = 10522333410822791168, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (2293723321) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 9776 + ... + 68432.

It is an arithmetic number, because the mean of its divisors is an integer number (89394792).

Almost surely, 22293723328 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 2293723328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2503054176).

2293723328 is an abundant number, since it is smaller than the sum of its proper divisors (2712385024).

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

2293723328 is a wasteful number, since it uses less digits than its factorization.

2293723328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58729 (or 58719 counting only the distinct ones).

The product of its digits is 217728, while the sum is 41.

The square root of 2293723328 is about 47892.8316974472. The cubic root of 2293723328 is about 1318.8042676380.

The spelling of 2293723328 in words is "two billion, two hundred ninety-three million, seven hundred twenty-three thousand, three hundred twenty-eight".

Divisors: 1 2 4 8 13 16 26 32 47 52 64 94 104 188 208 376 416 611 752 832 1222 1504 2444 3008 4888 9776 19552 39104 58657 117314 234628 469256 762541 938512 1525082 1877024 2756879 3050164 3754048 5513758 6100328 11027516 12200656 22055032 24401312 35839427 44110064 48802624 71678854 88220128 143357708 176440256 286715416 573430832 1146861664 2293723328