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2314930208 = 251931263467
BaseRepresentation
bin1000100111111011…
…0000100000100000
312222022221122020212
42021332300200200
514220110231313
61021412553252
7111236403443
oct21176604040
95868848225
102314930208
11a88799368
12547322828
132ab7a1ab6
1417d63765a
15d83703a8
hex89fb0820

2314930208 has 96 divisors (see below), whose sum is σ = 4981616640. Its totient is φ = 1054874880.

The previous prime is 2314930207. The next prime is 2314930231. The reversal of 2314930208 is 8020394132.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (2314930207) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4956791 + ... + 4957257.

It is an arithmetic number, because the mean of its divisors is an integer number (51891840).

Almost surely, 22314930208 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 2314930208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2490808320).

2314930208 is an abundant number, since it is smaller than the sum of its proper divisors (2666686432).

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

2314930208 is a wasteful number, since it uses less digits than its factorization.

2314930208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 790 (or 782 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 2314930208 is about 48113.7216186817. The cubic root of 2314930208 is about 1322.8561906399.

The spelling of 2314930208 in words is "two billion, three hundred fourteen million, nine hundred thirty thousand, two hundred eight".

Divisors: 1 2 4 8 16 19 31 32 38 62 76 124 152 248 263 304 467 496 526 589 608 934 992 1052 1178 1868 2104 2356 3736 4208 4712 4997 7472 8153 8416 8873 9424 9994 14477 14944 16306 17746 18848 19988 28954 32612 35492 39976 57908 65224 70984 79952 115816 122821 130448 141968 154907 159904 231632 245642 260896 275063 283936 309814 463264 491284 550126 619628 982568 1100252 1239256 1965136 2200504 2333599 2478512 3807451 3930272 4401008 4667198 4957024 7614902 8802016 9334396 15229804 18668792 30459608 37337584 60919216 72341569 74675168 121838432 144683138 289366276 578732552 1157465104 2314930208