Search a number
230201424 = 243214910729
BaseRepresentation
bin11011011100010…
…01100001010000
3121001011102222200
431232021201100
5432412421144
634502003200
75463452115
oct1556114120
9531142880
10230201424
11108a40812
1265116500
13388ccb7b
142280490c
1515322c69
hexdb89850

230201424 has 60 divisors (see below), whose sum is σ = 648628500. Its totient is φ = 76211712.

The previous prime is 230201417. The next prime is 230201431. The reversal of 230201424 is 424102032.

230201424 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (230201417) and next prime (230201431).

It can be written as a sum of positive squares in 2 ways, for example, as 94711824 + 135489600 = 9732^2 + 11640^2 .

It is a super-2 number, since 2×2302014242 = 105985391223255552, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 230201397 and 230201406.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16092 + ... + 26820.

It is an arithmetic number, because the mean of its divisors is an integer number (10810475).

Almost surely, 2230201424 is an apocalyptic number.

230201424 is a gapful number since it is divisible by the number (24) 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 230201424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (324314250).

230201424 is an abundant number, since it is smaller than the sum of its proper divisors (418427076).

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

230201424 is a wasteful number, since it uses less digits than its factorization.

230201424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10892 (or 10883 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 230201424 is about 15172.3901874425. The cubic root of 230201424 is about 612.8713718406.

Adding to 230201424 its reverse (424102032), we get a palindrome (654303456).

The spelling of 230201424 in words is "two hundred thirty million, two hundred one thousand, four hundred twenty-four".