Search a number
-
+
230466600 = 233352721367
BaseRepresentation
bin11011011110010…
…10010000101000
3121001122220202000
431233022100220
5432444412400
634511411000
75465635200
oct1557122050
9531586660
10230466600
11109101a71
1265223a60
1338993790
1422873400
1515376600
hexdbca428

230466600 has 576 divisors, whose sum is σ = 1009310400. Its totient is φ = 47900160.

The previous prime is 230466583. The next prime is 230466623. The reversal of 230466600 is 6664032.

It is a super-2 number, since 2×2304666002 = 106229707431120000, which contains 22 as substring.

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

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 143 ways as a sum of consecutive naturals, for example, 3439767 + ... + 3439833.

It is an arithmetic number, because the mean of its divisors is an integer number (1752275).

Almost surely, 2230466600 is an apocalyptic number.

230466600 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 230466600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (504655200).

230466600 is an abundant number, since it is smaller than the sum of its proper divisors (778843800).

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

230466600 is a wasteful number, since it uses less digits than its factorization.

230466600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 97 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

The square root of 230466600 is about 15181.1264404194. The cubic root of 230466600 is about 613.1066099096.

It can be divided in two parts, 23046 and 6600, that added together give a triangular number (29646 = T243).

The spelling of 230466600 in words is "two hundred thirty million, four hundred sixty-six thousand, six hundred".