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22828033 is a prime number
BaseRepresentation
bin101011100010…
…1010000000001
31120221210011201
41113011100001
521320444113
62133141201
7365015014
oct127052001
946853151
1022828033
1111982048
12778a801
134963717
14306337b
15200dcdd
hex15c5401

22828033 has 2 divisors, whose sum is σ = 22828034. Its totient is φ = 22828032.

The previous prime is 22828031. The next prime is 22828037. The reversal of 22828033 is 33082822.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 16908544 + 5919489 = 4112^2 + 2433^2 .

It is a cyclic number.

It is not a de Polignac number, because 22828033 - 21 = 22828031 is a prime.

It is a super-2 number, since 2×228280332 = 1042238181298178, which contains 22 as substring.

Together with 22828031, it forms a pair of twin primes.

It is equal to p1438039 and since 22828033 and 1438039 have the same sum of digits, it is a Honaker prime.

It is a junction number, because it is equal to n+sod(n) for n = 22827992 and 22828010.

It is not a weakly prime, because it can be changed into another prime (22828031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11414016 + 11414017.

It is an arithmetic number, because the mean of its divisors is an integer number (11414017).

Almost surely, 222828033 is an apocalyptic number.

It is an amenable number.

22828033 is a deficient number, since it is larger than the sum of its proper divisors (1).

22828033 is an equidigital number, since it uses as much as digits as its factorization.

22828033 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 4608, while the sum is 28.

The square root of 22828033 is about 4777.8690856908. The cubic root of 22828033 is about 283.6761542002.

The spelling of 22828033 in words is "twenty-two million, eight hundred twenty-eight thousand, thirty-three".