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2013340224 = 26372214003
BaseRepresentation
bin111100000000001…
…0010001001000000
312012022110021120110
41320000102021000
513110403341344
6531440511320
7100615052400
oct17000221100
95168407513
102013340224
11943529345
1248231b540
1326116839c
1415156c800
15bbb4a3b9
hex78012240

2013340224 has 84 divisors (see below), whose sum is σ = 6196699824. Its totient is φ = 575237376.

The previous prime is 2013340223. The next prime is 2013340247. The reversal of 2013340224 is 4220433102.

It is a tau number, because it is divible by the number of its divisors (84).

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a self number, because there is not a number n which added to its sum of digits gives 2013340224.

It is not an unprimeable number, because it can be changed into a prime (2013340223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 97594 + ... + 116409.

It is an arithmetic number, because the mean of its divisors is an integer number (73770236).

Almost surely, 22013340224 is an apocalyptic number.

2013340224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2013340224 is an abundant number, since it is smaller than the sum of its proper divisors (4183359600).

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

2013340224 is a wasteful number, since it uses less digits than its factorization.

2013340224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214032 (or 214015 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 21.

The square root of 2013340224 is about 44870.2599056435. The cubic root of 2013340224 is about 1262.7161161121.

Adding to 2013340224 its reverse (4220433102), we get a palindrome (6233773326).

The spelling of 2013340224 in words is "two billion, thirteen million, three hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 147 168 192 196 224 294 336 392 448 588 672 784 1176 1344 1568 2352 3136 4704 9408 214003 428006 642009 856012 1284018 1498021 1712024 2568036 2996042 3424048 4494063 5136072 5992084 6848096 8988126 10272144 10486147 11984168 13696192 17976252 20544288 20972294 23968336 31458441 35952504 41088576 41944588 47936672 62916882 71905008 83889176 95873344 125833764 143810016 167778352 251667528 287620032 335556704 503335056 671113408 1006670112 2013340224