Search a number
-
+
232242412444 = 227314111357751
BaseRepresentation
bin1101100001001010111…
…0011111101110011100
3211012110101001221110021
43120102232133232130
512301113024144234
6254405104521524
722531116635320
oct3302256375634
9735411057407
10232242412444
118a547872959
12390156202a4
1318b92145533
14b352287980
156093d969b4
hex3612b9fb9c

232242412444 has 96 divisors (see below), whose sum is σ = 495517704192. Its totient is φ = 93139200000.

The previous prime is 232242412411. The next prime is 232242412469. The reversal of 232242412444 is 444214242232.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3992569 + ... + 4050319.

It is an arithmetic number, because the mean of its divisors is an integer number (5161642752).

Almost surely, 2232242412444 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 232242412444, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247758852096).

232242412444 is an abundant number, since it is smaller than the sum of its proper divisors (263275291748).

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

232242412444 is a wasteful number, since it uses less digits than its factorization.

232242412444 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57947 (or 57945 counting only the distinct ones).

The product of its digits is 98304, while the sum is 34.

Adding to 232242412444 its reverse (444214242232), we get a palindrome (676456654676).

The spelling of 232242412444 in words is "two hundred thirty-two billion, two hundred forty-two million, four hundred twelve thousand, four hundred forty-four".

Divisors: 1 2 4 7 14 28 31 41 62 82 113 124 164 217 226 287 434 452 574 791 868 1148 1271 1582 2542 3164 3503 4633 5084 7006 8897 9266 14012 17794 18532 24521 32431 35588 49042 57751 64862 98084 115502 129724 143623 231004 287246 404257 574492 808514 1005361 1617028 1790281 2010722 2367791 3580562 4021444 4735582 6525863 7161124 9471164 12531967 13051726 16574537 25063934 26103452 33149074 45681041 50127868 66298148 73401521 91362082 146803042 182724164 202301753 267560383 293606084 404603506 513810647 535120766 809207012 1027621294 1070241532 1416112271 1872922681 2055242588 2832224542 3745845362 5664449084 7491690724 8294371873 16588743746 33177487492 58060603111 116121206222 232242412444