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2224692641 = 172310095639
BaseRepresentation
bin1000010010011010…
…0001110110100001
312202001011002120202
42010212201312201
514024010131031
61004430514545
7106062401243
oct20446416641
95661132522
102224692641
11a41865566
12521065a55
13295b989a2
14171668093
15d04982cb
hex849a1da1

2224692641 has 16 divisors (see below), whose sum is σ = 2460844800. Its totient is φ = 2000452608.

The previous prime is 2224692611. The next prime is 2224692647. The reversal of 2224692641 is 1462964222.

It is a cyclic number.

It is not a de Polignac number, because 2224692641 - 226 = 2157583777 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2224692595 and 2224692604.

It is not an unprimeable number, because it can be changed into a prime (2224692647) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 391700 + ... + 397338.

It is an arithmetic number, because the mean of its divisors is an integer number (153802800).

Almost surely, 22224692641 is an apocalyptic number.

It is an amenable number.

2224692641 is a deficient number, since it is larger than the sum of its proper divisors (236152159).

2224692641 is a wasteful number, since it uses less digits than its factorization.

2224692641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6688.

The product of its digits is 82944, while the sum is 38.

The square root of 2224692641 is about 47166.6475488772. The cubic root of 2224692641 is about 1305.4392694345.

The spelling of 2224692641 in words is "two billion, two hundred twenty-four million, six hundred ninety-two thousand, six hundred forty-one".

Divisors: 1 17 23 391 1009 5639 17153 23207 95863 129697 394519 2204849 5689751 96725767 130864273 2224692641