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2231220033 = 337167223317
BaseRepresentation
bin1000010011111101…
…1011011101000001
312202111102201111000
42010333123131001
514032143020113
61005222442213
7106202025450
oct20477333501
95674381430
102231220033
11a455136a9
12523293369
13297342a53
14172486b97
15d0d37373
hex84fdb741

2231220033 has 64 divisors (see below), whose sum is σ = 3829432320. Its totient is φ = 1257685056.

The previous prime is 2231219999. The next prime is 2231220037. The reversal of 2231220033 is 3300221322.

It is a happy number.

It is not a de Polignac number, because 2231220033 - 224 = 2214442817 is a prime.

It is a super-3 number, since 3×22312200333 (a number of 29 digits) contains 333 as substring.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 2231219988 and 2231220015.

It is not an unprimeable number, because it can be changed into a prime (2231220037) 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 63 ways as a sum of consecutive naturals, for example, 7038391 + ... + 7038707.

It is an arithmetic number, because the mean of its divisors is an integer number (59834880).

Almost surely, 22231220033 is an apocalyptic number.

It is an amenable number.

2231220033 is a deficient number, since it is larger than the sum of its proper divisors (1598212287).

2231220033 is a wasteful number, since it uses less digits than its factorization.

2231220033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 723 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 18.

The square root of 2231220033 is about 47235.7918637975. The cubic root of 2231220033 is about 1306.7147705100.

Adding to 2231220033 its reverse (3300221322), we get a palindrome (5531441355).

The spelling of 2231220033 in words is "two billion, two hundred thirty-one million, two hundred twenty thousand, thirty-three".

Divisors: 1 3 7 9 21 27 63 167 189 223 317 501 669 951 1169 1503 1561 2007 2219 2853 3507 4509 4683 6021 6657 8559 10521 14049 19971 31563 37241 42147 52939 59913 70691 111723 158817 212073 260687 335169 370573 476451 494837 636219 782061 1005507 1111719 1429353 1484511 1908657 2346183 3335157 4453533 7038549 10005471 11805397 13360599 35416191 82637779 106248573 247913337 318745719 743740011 2231220033