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2232341233044 = 22313163163753629
BaseRepresentation
bin100000011111000001111…
…001111111110110010100
321220102001200212101210120
4200133001321333312110
5243033313323424134
64425305015551540
7320165332254156
oct40370171776624
97812050771716
102232341233044
1179080447a05a
1230078668b5b0
1313267ccc9620
147a08dcdcad6
153d105894649
hex207c1e7fd94

2232341233044 has 96 divisors (see below), whose sum is σ = 5647439790720. Its totient is φ = 682230532608.

The previous prime is 2232341233033. The next prime is 2232341233049. The reversal of 2232341233044 is 4403321432322.

It is a super-3 number, since 3×22323412330443 (a number of 38 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2232341232996 and 2232341233014.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2232341233049) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 41598822 + ... + 41652450.

It is an arithmetic number, because the mean of its divisors is an integer number (58827497820).

Almost surely, 22232341233044 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 2232341233044, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2823719895360).

2232341233044 is an abundant number, since it is smaller than the sum of its proper divisors (3415098557676).

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

2232341233044 is a wasteful number, since it uses less digits than its factorization.

2232341233044 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55449 (or 55447 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 33.

Adding to 2232341233044 its reverse (4403321432322), we get a palindrome (6635662665366).

The spelling of 2232341233044 in words is "two trillion, two hundred thirty-two billion, three hundred forty-one million, two hundred thirty-three thousand, forty-four".

Divisors: 1 2 3 4 6 12 13 26 39 52 78 156 163 326 489 652 978 1637 1956 2119 3274 4238 4911 6357 6548 8476 9822 12714 19644 21281 25428 42562 53629 63843 85124 107258 127686 160887 214516 255372 266831 321774 533662 643548 697177 800493 1067324 1394354 1600986 2091531 2788708 3201972 3468803 4183062 6937606 8366124 8741527 10406409 13875212 17483054 20812818 26224581 34966108 41625636 52449162 87790673 104898324 113639851 175581346 227279702 263372019 340919553 351162692 454559404 526744038 681839106 1053488076 1141278749 1363678212 2282557498 3423836247 4565114996 6847672494 13695344988 14309879699 28619759398 42929639097 57239518796 85859278194 171718556388 186028436087 372056872174 558085308261 744113744348 1116170616522 2232341233044