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2243296896 = 2733126079
BaseRepresentation
bin1000010110110101…
…1111111010000000
312210100011021211020
42011231133322000
514043241000041
61010333345440
7106406465121
oct20555377200
95710137736
102243296896
11a51312185
12527338280
132999b0a19
14173d0c048
15d1e20866
hex85b5fe80

2243296896 has 96 divisors (see below), whose sum is σ = 6158188800. Its totient is φ = 723525120.

The previous prime is 2243296849. The next prime is 2243296963. The reversal of 2243296896 is 6986923422.

2243296896 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 365985 + ... + 372063.

It is an arithmetic number, because the mean of its divisors is an integer number (64147800).

Almost surely, 22243296896 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 2243296896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3079094400).

2243296896 is an abundant number, since it is smaller than the sum of its proper divisors (3914891904).

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

2243296896 is an equidigital number, since it uses as much as digits as its factorization.

2243296896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6158 (or 6115 counting only the distinct ones).

The product of its digits is 2239488, while the sum is 51.

The square root of 2243296896 is about 47363.4552793607. The cubic root of 2243296896 is about 1309.0681359114.

The spelling of 2243296896 in words is "two billion, two hundred forty-three million, two hundred ninety-six thousand, eight hundred ninety-six".

Divisors: 1 2 3 4 6 8 12 16 24 31 32 48 62 64 93 96 124 128 186 192 248 372 384 496 744 961 992 1488 1922 1984 2883 2976 3844 3968 5766 5952 6079 7688 11532 11904 12158 15376 18237 23064 24316 30752 36474 46128 48632 61504 72948 92256 97264 123008 145896 184512 188449 194528 291792 369024 376898 389056 565347 583584 753796 778112 1130694 1167168 1507592 2261388 2334336 3015184 4522776 5841919 6030368 9045552 11683838 12060736 17525757 18091104 23367676 24121472 35051514 36182208 46735352 70103028 72364416 93470704 140206056 186941408 280412112 373882816 560824224 747765632 1121648448 2243296896