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2320334330232 = 2337383137116471
BaseRepresentation
bin100001110000111110101…
…101000001100101111000
322012211012002101212211010
4201300332231001211320
5301004021042031412
64533540305233520
7326432022246132
oct41607655014570
98184162355733
102320334330232
11815059269386
123158433328a0
1313aa640c8639
148043a466052
154055594833c
hex21c3eb41978

2320334330232 has 128 divisors (see below), whose sum is σ = 5994636802560. Its totient is φ = 748151101440.

The previous prime is 2320334330231. The next prime is 2320334330243.

It is a happy number.

2320334330232 is nontrivially palindromic in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 2320334330232.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2320334330231) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19863757 + ... + 19980227.

It is an arithmetic number, because the mean of its divisors is an integer number (46833100020).

Almost surely, 22320334330232 is an apocalyptic number.

It is an amenable number.

2320334330232 is an abundant number, since it is smaller than the sum of its proper divisors (3674302472328).

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

2320334330232 is a wasteful number, since it uses less digits than its factorization.

2320334330232 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116773 (or 116769 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 30.

The spelling of 2320334330232 in words is "two trillion, three hundred twenty billion, three hundred thirty-four million, three hundred thirty thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 73 83 137 146 166 219 249 274 292 332 411 438 498 548 584 664 822 876 996 1096 1644 1752 1992 3288 6059 10001 11371 12118 18177 20002 22742 24236 30003 34113 36354 40004 45484 48472 60006 68226 72708 80008 90968 116471 120012 136452 145416 232942 240024 272904 349413 465884 698826 830083 931768 1397652 1660166 2490249 2795304 3320332 4980498 6640664 8502383 9667093 9960996 15956527 17004766 19334186 19921992 25507149 29001279 31913054 34009532 38668372 47869581 51014298 58002558 63826108 68019064 77336744 95739162 102028596 116005116 127652216 191478324 204057192 232010232 382956648 705697789 1164826471 1324391741 1411395578 2117093367 2329652942 2648783482 2822791156 3494479413 3973175223 4234186734 4659305884 5297566964 5645582312 6988958826 7946350446 8468373468 9318611768 10595133928 13977917652 15892700892 16936746936 27955835304 31785401784 96680597093 193361194186 290041791279 386722388372 580083582558 773444776744 1160167165116 2320334330232