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22314321 = 325774297
BaseRepresentation
bin101010100011…
…1110101010001
31112222200111100
41111013311101
521203024241
62114135013
7360445221
oct125076521
945880440
1022314321
1111661097
127581469
134813953
142d6c081
151e5b9b6
hex1547d51

22314321 has 12 divisors (see below), whose sum is σ = 32295172. Its totient is φ = 14846976.

The previous prime is 22314317. The next prime is 22314323. The reversal of 22314321 is 12341322.

22314321 is a `hidden beast` number, since 2 + 231 + 432 + 1 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 18662400 + 3651921 = 4320^2 + 1911^2 .

It is not a de Polignac number, because 22314321 - 22 = 22314317 is a prime.

It is a super-3 number, since 3×223143213 (a number of 23 digits) contains 333 as substring.

It is a Duffinian number.

It is a zygodrome in base 3.

It is a junction number, because it is equal to n+sod(n) for n = 22314294 and 22314303.

It is not an unprimeable number, because it can be changed into a prime (22314323) 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 11 ways as a sum of consecutive naturals, for example, 3045 + ... + 7341.

Almost surely, 222314321 is an apocalyptic number.

It is an amenable number.

22314321 is a deficient number, since it is larger than the sum of its proper divisors (9980851).

22314321 is a wasteful number, since it uses less digits than its factorization.

22314321 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4880 (or 4877 counting only the distinct ones).

The product of its digits is 288, while the sum is 18.

The square root of 22314321 is about 4723.8036580705. The cubic root of 22314321 is about 281.5320820259.

Adding to 22314321 its reverse (12341322), we get a palindrome (34655643).

The spelling of 22314321 in words is "twenty-two million, three hundred fourteen thousand, three hundred twenty-one".

Divisors: 1 3 9 577 1731 4297 5193 12891 38673 2479369 7438107 22314321