Search a number
-
+
23381967 = 37331733
BaseRepresentation
bin101100100110…
…0011111001111
31121222221000210
41121030133033
521441210332
62153053503
7402513000
oct131143717
947887023
1023381967
1112220244
1279b7293
134ac88ab
1431691a7
1520bcecc
hex164c7cf

23381967 has 32 divisors (see below), whose sum is σ = 37580800. Its totient is φ = 12912480.

The previous prime is 23381929. The next prime is 23381993. The reversal of 23381967 is 76918332.

It is not a de Polignac number, because 23381967 - 214 = 23365583 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 (23361967) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 31533 + ... + 32265.

It is an arithmetic number, because the mean of its divisors is an integer number (1174400).

Almost surely, 223381967 is an apocalyptic number.

23381967 is a deficient number, since it is larger than the sum of its proper divisors (14198833).

23381967 is an equidigital number, since it uses as much as digits as its factorization.

23381967 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 788 (or 774 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 23381967 is about 4835.4903577610. The cubic root of 23381967 is about 285.9523572978.

It can be divided in two parts, 2338196 and 7, that added together give a triangular number (2338203 = T2162).

The spelling of 23381967 in words is "twenty-three million, three hundred eighty-one thousand, nine hundred sixty-seven".

Divisors: 1 3 7 21 31 49 93 147 217 343 651 733 1029 1519 2199 4557 5131 10633 15393 22723 31899 35917 68169 107751 159061 251419 477183 754257 1113427 3340281 7793989 23381967