Search a number
-
+
323332122232 = 23747617199103
BaseRepresentation
bin1001011010010000001…
…10001010011001111000
31010220120120102122101101
410231020012022121320
520244141010402412
6404311533301144
732234320456330
oct4551006123170
91126516378341
10323332122232
11115140610049
12527b73347b4
132464a9547b2
1411913ba60c0
158625c25457
hex4b4818a678

323332122232 has 64 divisors (see below), whose sum is σ = 708746526720. Its totient is φ = 135402102528.

The previous prime is 323332122227. The next prime is 323332122247. The reversal of 323332122232 is 232221233323.

It is a happy number.

It is a super-4 number, since 4×3233321222324 (a number of 47 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a self number, because there is not a number n which added to its sum of digits gives 323332122232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1524393 + ... + 1723495.

It is an arithmetic number, because the mean of its divisors is an integer number (11074164480).

Almost surely, 2323332122232 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 323332122232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354373263360).

323332122232 is an abundant number, since it is smaller than the sum of its proper divisors (385414404488).

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

323332122232 is a wasteful number, since it uses less digits than its factorization.

323332122232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199780 (or 199776 counting only the distinct ones).

The product of its digits is 15552, while the sum is 28.

Adding to 323332122232 its reverse (232221233323), we get a palindrome (555553355555).

The spelling of 323332122232 in words is "three hundred twenty-three billion, three hundred thirty-two million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 7 8 14 28 47 56 94 188 329 376 617 658 1234 1316 2468 2632 4319 4936 8638 17276 28999 34552 57998 115996 199103 202993 231992 398206 405986 796412 811972 1393721 1592824 1623944 2787442 5574884 9357841 11149768 18715682 37431364 65504887 74862728 122846551 131009774 245693102 262019548 491386204 524039096 859925857 982772408 1719851714 3439703428 5773787897 6879406856 11547575794 23095151588 40416515279 46190303176 80833030558 161666061116 323332122232