Search a number
-
+
230461542 = 23232993881
BaseRepresentation
bin11011011110010…
…01000001100110
3121001122122210200
431233021001212
5432444232132
634511331330
75465614353
oct1557110146
9531578720
10230461542
111090a9193
1265220b46
133899139c
142287162a
1515374d7c
hexdbc9066

230461542 has 24 divisors (see below), whose sum is σ = 499613400. Its totient is φ = 76777440.

The previous prime is 230461529. The next prime is 230461547. The reversal of 230461542 is 245164032.

230461542 is a `hidden beast` number, since 2 + 3 + 0 + 4 + 615 + 42 = 666.

230461542 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-4 number, since 4×2304615424 (a number of 35 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230461547) 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, 57442 + ... + 61322.

It is an arithmetic number, because the mean of its divisors is an integer number (20817225).

Almost surely, 2230461542 is an apocalyptic number.

230461542 is an abundant number, since it is smaller than the sum of its proper divisors (269151858).

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

230461542 is a wasteful number, since it uses less digits than its factorization.

230461542 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7188 (or 7185 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 230461542 is about 15180.9598510766. The cubic root of 230461542 is about 613.1021246379.

The spelling of 230461542 in words is "two hundred thirty million, four hundred sixty-one thousand, five hundred forty-two".

Divisors: 1 2 3 6 9 18 3299 3881 6598 7762 9897 11643 19794 23286 29691 34929 59382 69858 12803419 25606838 38410257 76820514 115230771 230461542