Search a number
-
+
230432202 = 23473111329
BaseRepresentation
bin11011011110000…
…01110111001010
3121001121011120000
431233001313022
5432442312302
634510543430
75465433000
oct1557016712
9531534500
10230432202
11109089140
1265207b76
1338980c20
1422864a70
151536b31c
hexdbc1dca

230432202 has 320 divisors, whose sum is σ = 731808000. Its totient is φ = 53343360.

The previous prime is 230432159. The next prime is 230432203. The reversal of 230432202 is 202234032.

230432202 is a `hidden beast` number, since 2 + 30 + 432 + 202 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (230432203) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 7945924 + ... + 7945952.

It is an arithmetic number, because the mean of its divisors is an integer number (2286900).

Almost surely, 2230432202 is an apocalyptic number.

230432202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 230432202, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365904000).

230432202 is an abundant number, since it is smaller than the sum of its proper divisors (501375798).

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

230432202 is a wasteful number, since it uses less digits than its factorization.

230432202 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 18.

The square root of 230432202 is about 15179.9934782595. The cubic root of 230432202 is about 613.0761055755.

Adding to 230432202 its reverse (202234032), we get a palindrome (432666234).

The spelling of 230432202 in words is "two hundred thirty million, four hundred thirty-two thousand, two hundred two".