Search a number
-
+
230837046 = 23117149261
BaseRepresentation
bin11011100001001…
…00101100110110
3121002100201220020
431300210230312
5433043241141
634523350010
75502040206
oct1560445466
9532321806
10230837046
11109335320
1265382306
1338a9328b
142292c406
15153eb266
hexdc24b36

230837046 has 32 divisors (see below), whose sum is σ = 510748416. Its totient is φ = 68964000.

The previous prime is 230837021. The next prime is 230837051. The reversal of 230837046 is 640738032.

230837046 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2308370462 = 106571483612012232, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 230836998 and 230837016.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 19945 + ... + 29316.

It is an arithmetic number, because the mean of its divisors is an integer number (15960888).

Almost surely, 2230837046 is an apocalyptic number.

230837046 is an abundant number, since it is smaller than the sum of its proper divisors (279911370).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

230837046 is a wasteful number, since it uses less digits than its factorization.

230837046 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49348.

The product of its (nonzero) digits is 24192, while the sum is 33.

The square root of 230837046 is about 15193.3224147979. The cubic root of 230837046 is about 613.4349312503.

The spelling of 230837046 in words is "two hundred thirty million, eight hundred thirty-seven thousand, forty-six".

Divisors: 1 2 3 6 11 22 33 66 71 142 213 426 781 1562 2343 4686 49261 98522 147783 295566 541871 1083742 1625613 3251226 3497531 6995062 10492593 20985186 38472841 76945682 115418523 230837046