Search a number
-
+
230292320 = 2553374271
BaseRepresentation
bin11011011100111…
…11101101100000
3121001100001200012
431232133231200
5432423323240
634503544052
75464311116
oct1556375540
9531301605
10230292320
11108aa3035
126515b028
133893235b
1422829ab6
151533eb65
hexdb9fb60

230292320 has 48 divisors (see below), whose sum is σ = 545807808. Its totient is φ = 91822080.

The previous prime is 230292317. The next prime is 230292343. The reversal of 230292320 is 23292032.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51785 + ... + 56055.

It is an arithmetic number, because the mean of its divisors is an integer number (11370996).

Almost surely, 2230292320 is an apocalyptic number.

230292320 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 230292320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272903904).

230292320 is an abundant number, since it is smaller than the sum of its proper divisors (315515488).

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

230292320 is a wasteful number, since it uses less digits than its factorization.

230292320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4623 (or 4615 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

The square root of 230292320 is about 15175.3853328342. The cubic root of 230292320 is about 612.9520261718.

The spelling of 230292320 in words is "two hundred thirty million, two hundred ninety-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 337 674 1348 1685 2696 3370 4271 5392 6740 8542 10784 13480 17084 21355 26960 34168 42710 53920 68336 85420 136672 170840 341680 683360 1439327 2878654 5757308 7196635 11514616 14393270 23029232 28786540 46058464 57573080 115146160 230292320