Search a number
-
+
232002231312 = 24337136795561
BaseRepresentation
bin1101100000010001101…
…0010001110000010000
3211011211122010110212210
43120010122101300100
512300120032400222
6254325204552120
722522142266635
oct3300432216020
9734748113783
10232002231312
118a434236255
1238b690b2640
1318b54460117
14b32c40618c
15607cc51d0c
hex3604691c10

232002231312 has 80 divisors (see below), whose sum is σ = 615994180992. Its totient is φ = 75188136960.

The previous prime is 232002231281. The next prime is 232002231313. The reversal of 232002231312 is 213132200232.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (232002231313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2380012 + ... + 2475572.

Almost surely, 2232002231312 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 232002231312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (307997090496).

232002231312 is an abundant number, since it is smaller than the sum of its proper divisors (383991949680).

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

232002231312 is a wasteful number, since it uses less digits than its factorization.

232002231312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96976 (or 96970 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 232002231312 its reverse (213132200232), we get a palindrome (445134431544).

The spelling of 232002231312 in words is "two hundred thirty-two billion, two million, two hundred thirty-one thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 37 48 74 111 148 222 296 444 592 888 1367 1776 2734 4101 5468 8202 10936 16404 21872 32808 50579 65616 95561 101158 151737 191122 202316 286683 303474 382244 404632 573366 606948 764488 809264 1146732 1213896 1528976 2293464 2427792 3535757 4586928 7071514 10607271 14143028 21214542 28286056 42429084 56572112 84858168 130631887 169716336 261263774 391895661 522527548 783791322 1045055096 1567582644 2090110192 3135165288 4833379819 6270330576 9666759638 14500139457 19333519276 29000278914 38667038552 58000557828 77334077104 116001115656 232002231312