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22313313 = 341179317
BaseRepresentation
bin101010100011…
…1100101100001
31112222122010000
41111013211201
521203011223
62114130213
7360442251
oct125074541
945878100
1022313313
1111660360
127580969
134813359
142d6b961
151e5b543
hex1547961

22313313 has 40 divisors (see below), whose sum is σ = 36938880. Its totient is φ = 13309920.

The previous prime is 22313303. The next prime is 22313321. The reversal of 22313313 is 31331322.

It is a de Polignac number, because none of the positive numbers 2k-22313313 is a prime.

It is a super-3 number, since 3×223133133 (a number of 23 digits) contains 333 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (22313303) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 70231 + ... + 70547.

It is an arithmetic number, because the mean of its divisors is an integer number (923472).

Almost surely, 222313313 is an apocalyptic number.

It is an amenable number.

22313313 is a deficient number, since it is larger than the sum of its proper divisors (14625567).

22313313 is a wasteful number, since it uses less digits than its factorization.

22313313 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 419 (or 410 counting only the distinct ones).

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

The square root of 22313313 is about 4723.6969631847. The cubic root of 22313313 is about 281.5278427661.

Adding to 22313313 its reverse (31331322), we get a palindrome (53644635).

Subtracting 22313313 from its reverse (31331322), we obtain a square (9018009 = 30032).

The spelling of 22313313 in words is "twenty-two million, three hundred thirteen thousand, three hundred thirteen".

Divisors: 1 3 9 11 27 33 79 81 99 237 297 317 711 869 891 951 2133 2607 2853 3487 6399 7821 8559 10461 23463 25043 25677 31383 70389 75129 94149 225387 275473 282447 676161 826419 2028483 2479257 7437771 22313313