Search a number
-
+
230244000 = 2535372741
BaseRepresentation
bin11011011100100…
…11111010100000
3121001020121101120
431232103322200
5432420302000
634502532240
75464020210
oct1556237240
9531217346
10230244000
11108a6a7a8
1265137080
133891636c
1422816240
15153306a0
hexdb93ea0

230244000 has 192 divisors, whose sum is σ = 862348032. Its totient is φ = 52608000.

The previous prime is 230243977. The next prime is 230244029. The reversal of 230244000 is 442032.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82630 + ... + 85370.

It is an arithmetic number, because the mean of its divisors is an integer number (4491396).

Almost surely, 2230244000 is an apocalyptic number.

230244000 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 230244000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (431174016).

230244000 is an abundant number, since it is smaller than the sum of its proper divisors (632104032).

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

230244000 is a wasteful number, since it uses less digits than its factorization.

230244000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2776 (or 2758 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 230244000 is about 15173.7931974836. The cubic root of 230244000 is about 612.9091532504.

Adding to 230244000 its reverse (442032), we get a palindrome (230686032).

The spelling of 230244000 in words is "two hundred thirty million, two hundred forty-four thousand".