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23006461 = 731132789
BaseRepresentation
bin101011111000…
…0110011111101
31121021211221011
41113300303331
521342201321
62141035221
7366360142
oct127606375
947254834
1023006461
1111a94105
127855b11
1349c69ba
1430ac3c9
152046ae1
hex15f0cfd

23006461 has 8 divisors (see below), whose sum is σ = 23536440. Its totient is φ = 22482432.

The previous prime is 23006449. The next prime is 23006471. The reversal of 23006461 is 16460032.

It can be written as a sum of positive squares in 4 ways, for example, as 624100 + 22382361 = 790^2 + 4731^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-23006461 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23006441) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6855 + ... + 9643.

It is an arithmetic number, because the mean of its divisors is an integer number (2942055).

Almost surely, 223006461 is an apocalyptic number.

It is an amenable number.

23006461 is a deficient number, since it is larger than the sum of its proper divisors (529979).

23006461 is a wasteful number, since it uses less digits than its factorization.

23006461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2975.

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 23006461 is about 4796.5050818278. The cubic root of 23006461 is about 284.4133248030.

Adding to 23006461 its reverse (16460032), we get a palindrome (39466493).

The spelling of 23006461 in words is "twenty-three million, six thousand, four hundred sixty-one".

Divisors: 1 73 113 2789 8249 203597 315157 23006461