Search a number
-
+
23004261 = 327365147
BaseRepresentation
bin101011111000…
…0010001100101
31121021201220200
41113300101211
521342114021
62141021113
7366350550
oct127602145
947251820
1023004261
1111a92495
127854799
1349c59b7
1430ab697
152046126
hex15f0465

23004261 has 12 divisors (see below), whose sum is σ = 37975392. Its totient is φ = 13145256.

The previous prime is 23004257. The next prime is 23004283. The reversal of 23004261 is 16240032.

It is a happy number.

It is not a de Polignac number, because 23004261 - 22 = 23004257 is a prime.

It is a super-2 number, since 2×230042612 = 1058392048312242, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23004211) 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, 182511 + ... + 182636.

It is an arithmetic number, because the mean of its divisors is an integer number (3164616).

Almost surely, 223004261 is an apocalyptic number.

23004261 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

23004261 is a deficient number, since it is larger than the sum of its proper divisors (14971131).

23004261 is a wasteful number, since it uses less digits than its factorization.

23004261 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365160 (or 365157 counting only the distinct ones).

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

The square root of 23004261 is about 4796.2757426987. The cubic root of 23004261 is about 284.4042588097.

Adding to 23004261 its reverse (16240032), we get a palindrome (39244293).

It can be divided in two parts, 2300 and 4261, that added together give a 8-th power (6561 = 38).

The spelling of 23004261 in words is "twenty-three million, four thousand, two hundred sixty-one".

Divisors: 1 3 7 9 21 63 365147 1095441 2556029 3286323 7668087 23004261