Search a number
-
+
230022013 = 1324189373
BaseRepresentation
bin11011011010111…
…01101101111101
3121000211022212211
431231131231331
5432341201023
634454100421
75462104054
oct1555355575
9530738784
10230022013
11108928a41
126504a711
1338869300
142279939b
15152d9a0d
hexdb5db7d

230022013 has 24 divisors (see below), whose sum is σ = 258710760. Its totient is φ = 204272640.

The previous prime is 230021977. The next prime is 230022029. The reversal of 230022013 is 310220032.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 201270969 + 28751044 = 14187^2 + 5362^2 .

It is not a de Polignac number, because 230022013 - 221 = 227924861 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 230021984 and 230022002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230022083) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 616495 + ... + 616867.

It is an arithmetic number, because the mean of its divisors is an integer number (10779615).

Almost surely, 2230022013 is an apocalyptic number.

It is an amenable number.

230022013 is a deficient number, since it is larger than the sum of its proper divisors (28688747).

230022013 is a wasteful number, since it uses less digits than its factorization.

230022013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 529 (or 516 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 230022013 is about 15166.4766178569. The cubic root of 230022013 is about 612.7121135681.

Adding to 230022013 its reverse (310220032), we get a palindrome (540242045).

The spelling of 230022013 in words is "two hundred thirty million, twenty-two thousand, thirteen".

Divisors: 1 13 41 89 169 373 533 1157 3649 4849 6929 15041 15293 33197 47437 63037 198809 431561 616681 1361077 2584517 5610293 17694001 230022013