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23023033 = 1121491277
BaseRepresentation
bin101011111010…
…0110110111001
31121022200122221
41113310312321
521343214113
62141244041
7366456355
oct127646671
947280587
1023023033
1111aa5600
127863621
134a013c7
1430b4465
15204b98d
hex15f4db9

23023033 has 12 divisors (see below), whose sum is σ = 25496100. Its totient is φ = 20773280.

The previous prime is 23023001. The next prime is 23023037. The reversal of 23023033 is 33032032.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 8369449 + 14653584 = 2893^2 + 3828^2 .

It is not a de Polignac number, because 23023033 - 25 = 23023001 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 23022998 and 23023016.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23023037) 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, 17391 + ... + 18667.

It is an arithmetic number, because the mean of its divisors is an integer number (2124675).

Almost surely, 223023033 is an apocalyptic number.

It is an amenable number.

23023033 is a deficient number, since it is larger than the sum of its proper divisors (2473067).

23023033 is a wasteful number, since it uses less digits than its factorization.

23023033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1448 (or 1437 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 16.

The square root of 23023033 is about 4798.2322786626. The cubic root of 23023033 is about 284.4815978905.

Adding to 23023033 its reverse (33032032), we get a palindrome (56055065).

It can be divided in two parts, 2302 and 3033, that added together give a palindrome (5335).

The spelling of 23023033 in words is "twenty-three million, twenty-three thousand, thirty-three".

Divisors: 1 11 121 149 1277 1639 14047 18029 154517 190273 2093003 23023033