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2213848013 = 13414153561
BaseRepresentation
bin1000001111110100…
…1010001111001101
312201021202010112212
42003331022033031
514013221114023
61003402240205
7105601253246
oct20375121715
95637663485
102213848013
11a36728863
125194b6065
1329386c850
14170043ccd
15ce554e78
hex83f4a3cd

2213848013 has 8 divisors (see below), whose sum is σ = 2442294456. Its totient is φ = 1993708800.

The previous prime is 2213847997. The next prime is 2213848027. The reversal of 2213848013 is 3108483122.

It can be written as a sum of positive squares in 4 ways, for example, as 268861609 + 1944986404 = 16397^2 + 44102^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 2213848013 - 24 = 2213847997 is a prime.

It is a super-2 number, since 2×22138480132 = 9802246049328096338, which contains 22 as substring.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2213848073) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 2076248 + ... + 2077313.

It is an arithmetic number, because the mean of its divisors is an integer number (305286807).

Almost surely, 22213848013 is an apocalyptic number.

It is an amenable number.

2213848013 is a deficient number, since it is larger than the sum of its proper divisors (228446443).

2213848013 is a wasteful number, since it uses less digits than its factorization.

2213848013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4153615.

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 2213848013 is about 47051.5463401576. The cubic root of 2213848013 is about 1303.3146209872.

The spelling of 2213848013 in words is "two billion, two hundred thirteen million, eight hundred forty-eight thousand, thirteen".

Divisors: 1 13 41 533 4153561 53996293 170296001 2213848013