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230201322 = 231321311733
BaseRepresentation
bin11011011100010…
…01011111101010
3121001011102211220
431232021133222
5432412420242
634502002510
75463451611
oct1556113752
9531142756
10230201322
11108a4072a
1265116436
13388ccb00
1422804878
1515322bec
hexdb897ea

230201322 has 48 divisors (see below), whose sum is σ = 502638048. Its totient is φ = 70249920.

The previous prime is 230201311. The next prime is 230201327. The reversal of 230201322 is 223102032.

It is a super-3 number, since 3×2302013223 (a number of 26 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (230201327) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 131968 + ... + 133700.

It is an arithmetic number, because the mean of its divisors is an integer number (10471626).

Almost surely, 2230201322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 230201322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251319024).

230201322 is an abundant number, since it is smaller than the sum of its proper divisors (272436726).

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

230201322 is a wasteful number, since it uses less digits than its factorization.

230201322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1895 (or 1882 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 230201322 is about 15172.3868260732. The cubic root of 230201322 is about 612.8712813215.

Adding to 230201322 its reverse (223102032), we get a palindrome (453303354).

It can be divided in two parts, 23020 and 1322, that added together give a palindrome (24342).

The spelling of 230201322 in words is "two hundred thirty million, two hundred one thousand, three hundred twenty-two".

Divisors: 1 2 3 6 13 26 39 78 131 169 262 338 393 507 786 1014 1703 1733 3406 3466 5109 5199 10218 10398 22139 22529 44278 45058 66417 67587 132834 135174 227023 292877 454046 585754 681069 878631 1362138 1757262 2951299 5902598 8853897 17707794 38366887 76733774 115100661 230201322