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22131212232 = 23331474911289
BaseRepresentation
bin10100100111000111…
…110111111111001000
32010010100210001211010
4110213013313333020
5330311042242412
614100020403520
71412301125433
oct244707677710
963110701733
1022131212232
119427546348
1243578465a0
1321190a346c
1410dd37881a
15897deb33c
hex5271f7fc8

22131212232 has 128 divisors (see below), whose sum is σ = 58492108800. Its totient is φ = 6967564800.

The previous prime is 22131212231. The next prime is 22131212249. The reversal of 22131212232 is 23221213122.

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22131212199 and 22131212208.

It is not an unprimeable number, because it can be changed into a prime (22131212231) 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, 17168644 + ... + 17169932.

It is an arithmetic number, because the mean of its divisors is an integer number (456969600).

Almost surely, 222131212232 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 22131212232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29246054400).

22131212232 is an abundant number, since it is smaller than the sum of its proper divisors (36360896568).

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

22131212232 is a wasteful number, since it uses less digits than its factorization.

22131212232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1867 (or 1863 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

Adding to 22131212232 its reverse (23221213122), we get a palindrome (45352425354).

The spelling of 22131212232 in words is "twenty-two billion, one hundred thirty-one million, two hundred twelve thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 12 24 31 47 62 93 94 124 141 186 188 248 282 372 376 491 564 744 982 1128 1289 1457 1473 1964 2578 2914 2946 3867 3928 4371 5156 5828 5892 7734 8742 10312 11656 11784 15221 15468 17484 23077 30442 30936 34968 39959 45663 46154 60583 60884 69231 79918 91326 92308 119877 121166 121768 138462 159836 181749 182652 184616 239754 242332 276924 319672 363498 365304 479508 484664 553848 632899 715387 726996 959016 1265798 1430774 1453992 1878073 1898697 2146161 2531596 2861548 3756146 3797394 4292322 5063192 5634219 5723096 7512292 7594788 8584644 11268438 15024584 15189576 17169288 19619869 22536876 29746253 39239738 45073752 58859607 59492506 78479476 89238759 117719214 118985012 156958952 178477518 235438428 237970024 356955036 470876856 713910072 922133843 1844267686 2766401529 3688535372 5532803058 7377070744 11065606116 22131212232