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22331313 = 323767061
BaseRepresentation
bin101010100101…
…1111110110001
31120000112210200
41111023332301
521204100223
62114345413
7360545604
oct125137661
946015720
1022331313
1111672934
12758b269
13481b5c4
142d7433b
151e61a43
hex154bfb1

22331313 has 12 divisors (see below), whose sum is σ = 33128628. Its totient is φ = 14484960.

The previous prime is 22331303. The next prime is 22331333. The reversal of 22331313 is 31313322.

22331313 is a `hidden beast` number, since 22 + 331 + 313 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 14311089 + 8020224 = 3783^2 + 2832^2 .

It is not a de Polignac number, because 22331313 - 24 = 22331297 is a prime.

It is not an unprimeable number, because it can be changed into a prime (22331303) 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, 33198 + ... + 33863.

It is an arithmetic number, because the mean of its divisors is an integer number (2760719).

Almost surely, 222331313 is an apocalyptic number.

It is an amenable number.

22331313 is a deficient number, since it is larger than the sum of its proper divisors (10797315).

22331313 is a wasteful number, since it uses less digits than its factorization.

22331313 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 67104 (or 67101 counting only the distinct ones).

The product of its digits is 324, while the sum is 18.

The square root of 22331313 is about 4725.6018664293. The cubic root of 22331313 is about 281.6035246269.

Adding to 22331313 its reverse (31313322), we get a palindrome (53644635).

Subtracting 22331313 from its reverse (31313322), we obtain a square (8982009 = 29972).

The spelling of 22331313 in words is "twenty-two million, three hundred thirty-one thousand, three hundred thirteen".

Divisors: 1 3 9 37 111 333 67061 201183 603549 2481257 7443771 22331313