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2269322016 = 253133158657
BaseRepresentation
bin1000011101000011…
…0001101100100000
312212011010111120120
42013100301230200
514121421301031
61013103240240
7110143630113
oct20720615440
95764114516
102269322016
11a64a78245
12533ba9080
132a21c36c0
1417756457a
15d4361a96
hex87431b20

2269322016 has 96 divisors (see below), whose sum is σ = 6622253568. Its totient is φ = 675717120.

The previous prime is 2269321991. The next prime is 2269322087. The reversal of 2269322016 is 6102239622.

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 15 ways as a sum of consecutive naturals, for example, 9360 + ... + 68016.

It is an arithmetic number, because the mean of its divisors is an integer number (68981808).

Almost surely, 22269322016 is an apocalyptic number.

2269322016 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2269322016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3311126784).

2269322016 is an abundant number, since it is smaller than the sum of its proper divisors (4352931552).

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

2269322016 is a wasteful number, since it uses less digits than its factorization.

2269322016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 58714 (or 58706 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 33.

The square root of 2269322016 is about 47637.4014404648. The cubic root of 2269322016 is about 1314.1109743201.

The spelling of 2269322016 in words is "two billion, two hundred sixty-nine million, three hundred twenty-two thousand, sixteen".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 31 32 39 48 52 62 78 93 96 104 124 156 186 208 248 312 372 403 416 496 624 744 806 992 1209 1248 1488 1612 2418 2976 3224 4836 6448 9672 12896 19344 38688 58657 117314 175971 234628 351942 469256 703884 762541 938512 1407768 1525082 1818367 1877024 2287623 2815536 3050164 3636734 4575246 5455101 5631072 6100328 7273468 9150492 10910202 12200656 14546936 18300984 21820404 23638771 24401312 29093872 36601968 43640808 47277542 58187744 70916313 73203936 87281616 94555084 141832626 174563232 189110168 283665252 378220336 567330504 756440672 1134661008 2269322016