Search a number
-
+
23006164733 is a prime number
BaseRepresentation
bin10101011011010001…
…100011011011111101
32012101100011021000022
4111123101203123331
5334104034232413
614322513541525
71443054113366
oct253321433375
965340137008
1023006164733
119836420092
1245608748a5
13222843a136
141183654b6d
158e9b2b608
hex55b4636fd

23006164733 has 2 divisors, whose sum is σ = 23006164734. Its totient is φ = 23006164732.

The previous prime is 23006164697. The next prime is 23006164739. The reversal of 23006164733 is 33746160032.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 22088498884 + 917665849 = 148622^2 + 30293^2 .

It is a cyclic number.

It is not a de Polignac number, because 23006164733 - 28 = 23006164477 is a prime.

It is a super-2 number, since 2×230061647332 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 23006164693 and 23006164702.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (23006164739) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 11503082366 + 11503082367.

It is an arithmetic number, because the mean of its divisors is an integer number (11503082367).

Almost surely, 223006164733 is an apocalyptic number.

It is an amenable number.

23006164733 is a deficient number, since it is larger than the sum of its proper divisors (1).

23006164733 is an equidigital number, since it uses as much as digits as its factorization.

23006164733 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 54432, while the sum is 35.

The spelling of 23006164733 in words is "twenty-three billion, six million, one hundred sixty-four thousand, seven hundred thirty-three".