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22322202342112 = 251967983557449
BaseRepresentation
bin1010001001101010010101…
…11100001111001011100000
32221000222111122212020001001
411010311022330033023200
510411211332244421422
6115250402253321344
74462503661161601
oct504651274171340
987028448766031
1022322202342112
11712687a313392
122606238496254
13c5bc893c303a
14572586821da8
1528a9b97be227
hex144d4af0f2e0

22322202342112 has 96 divisors (see below), whose sum is σ = 46998118944000. Its totient is φ = 10405244095488.

The previous prime is 22322202342079. The next prime is 22322202342113. The reversal of 22322202342112 is 21124320222322.

It is a happy number.

It is a super-3 number, since 3×223222023421123 (a number of 41 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22322202342113) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39764764 + ... + 40322212.

It is an arithmetic number, because the mean of its divisors is an integer number (489563739000).

Almost surely, 222322202342112 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 22322202342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23499059472000).

22322202342112 is an abundant number, since it is smaller than the sum of its proper divisors (24675916601888).

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

22322202342112 is a wasteful number, since it uses less digits than its factorization.

22322202342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558528 (or 558520 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22322202342112 its reverse (21124320222322), we get a palindrome (43446522564434).

The spelling of 22322202342112 in words is "twenty-two trillion, three hundred twenty-two billion, two hundred two million, three hundred forty-two thousand, one hundred twelve".

Divisors: 1 2 4 8 16 19 32 38 67 76 134 152 268 304 536 608 983 1072 1273 1966 2144 2546 3932 5092 7864 10184 15728 18677 20368 31456 37354 40736 65861 74708 131722 149416 263444 298832 526888 557449 597664 1053776 1114898 1251359 2107552 2229796 2502718 4459592 5005436 8919184 10010872 10591531 17838368 20021744 21183062 37349083 40043488 42366124 74698166 84732248 149396332 169464496 298792664 338928992 547972367 597585328 709632577 1095944734 1195170656 1419265154 2191889468 2838530308 4383778936 5677060616 8767557872 10411474973 11354121232 17535115744 20822949946 22708242464 36714148589 41645899892 73428297178 83291799784 146856594356 166583599568 293713188712 333167199136 587426377424 697568823191 1174852754848 1395137646382 2790275292764 5580550585528 11161101171056 22322202342112