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2297344014 = 2327113317509
BaseRepresentation
bin1000100011101110…
…1011000000001110
312221002212011112100
42020323223000032
514201110002024
61015544015530
7110634046650
oct21073530016
95832764470
102297344014
11a79877619
125414615a6
132a7c55274
1417b17a6d0
15d6a497c9
hex88eeb00e

2297344014 has 96 divisors (see below), whose sum is σ = 5768418240. Its totient is φ = 647248896.

The previous prime is 2297344003. The next prime is 2297344019. The reversal of 2297344014 is 4104437922.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 2297344014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2297344019) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4513192 + ... + 4513700.

It is an arithmetic number, because the mean of its divisors is an integer number (60087690).

Almost surely, 22297344014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2297344014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2884209120).

2297344014 is an abundant number, since it is smaller than the sum of its proper divisors (3471074226).

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

2297344014 is a wasteful number, since it uses less digits than its factorization.

2297344014 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 954 (or 951 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 36.

The square root of 2297344014 is about 47930.6166661770. The cubic root of 2297344014 is about 1319.4978220621.

The spelling of 2297344014 in words is "two billion, two hundred ninety-seven million, three hundred forty-four thousand, fourteen".

Divisors: 1 2 3 6 7 9 14 18 21 42 63 113 126 226 317 339 509 634 678 791 951 1017 1018 1527 1582 1902 2034 2219 2373 2853 3054 3563 4438 4581 4746 5706 6657 7119 7126 9162 10689 13314 14238 19971 21378 32067 35821 39942 57517 64134 71642 107463 115034 161353 172551 214926 250747 322389 322706 345102 402619 484059 501494 517653 644778 752241 805238 968118 1035306 1129471 1207857 1452177 1504482 2256723 2258942 2415714 2904354 3388413 3623571 4513446 6776826 7247142 10165239 18232889 20330478 36465778 54698667 109397334 127630223 164096001 255260446 328192002 382890669 765781338 1148672007 2297344014