Search a number
-
+
230737140 = 223351943523
BaseRepresentation
bin11011100000011…
…00010011110100
3121002011122212000
431300030103310
5433032042030
634521255300
75501143014
oct1560142364
9532148760
10230737140
11109277257
1265334530
1338a5996a
1422903c44
15153cb860
hexdc0c4f4

230737140 has 192 divisors, whose sum is σ = 774681600. Its totient is φ = 56827008.

The previous prime is 230737109. The next prime is 230737153. The reversal of 230737140 is 41737032.

230737140 is digitally balanced in base 3 and base 9, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

230737140 is strictly pandigital in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 440919 + ... + 441441.

It is an arithmetic number, because the mean of its divisors is an integer number (4034800).

Almost surely, 2230737140 is an apocalyptic number.

230737140 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230737140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387340800).

230737140 is an abundant number, since it is smaller than the sum of its proper divisors (543944460).

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

230737140 is a wasteful number, since it uses less digits than its factorization.

230737140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 603 (or 595 counting only the distinct ones).

The product of its (nonzero) digits is 3528, while the sum is 27.

The square root of 230737140 is about 15190.0342330095. The cubic root of 230737140 is about 613.3464205094.

The spelling of 230737140 in words is "two hundred thirty million, seven hundred thirty-seven thousand, one hundred forty".