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22322400343142 = 21723347270730389
BaseRepresentation
bin1010001001101010101101…
…01111100011010001100110
32221001000000110102201101112
411010311112233203101212
510411212233441440032
6115250434045225022
74462511614152224
oct504652657432146
987030013381345
1022322400343142
1171269710604a9
122606292862172
13c5bcbb42a503
145725a4c43b14
1528a9cbd811b2
hex144d56be3466

22322400343142 has 64 divisors (see below), whose sum is σ = 37116208488960. Its totient is φ = 10014947390976.

The previous prime is 22322400343109. The next prime is 22322400343207. The reversal of 22322400343142 is 24134300422322.

It is a super-3 number, since 3×223224003431423 (a number of 41 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22322400343099 and 22322400343108.

It is a congruent number.

It is an unprimeable number.

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, 734540084 + ... + 734570472.

It is an arithmetic number, because the mean of its divisors is an integer number (579940757640).

Almost surely, 222322400343142 is an apocalyptic number.

22322400343142 is a deficient number, since it is larger than the sum of its proper divisors (14793808145818).

22322400343142 is a wasteful number, since it uses less digits than its factorization.

22322400343142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33485.

The product of its (nonzero) digits is 55296, while the sum is 32.

Adding to 22322400343142 its reverse (24134300422322), we get a palindrome (46456700765464).

The spelling of 22322400343142 in words is "twenty-two trillion, three hundred twenty-two billion, four hundred million, three hundred forty-three thousand, one hundred forty-two".

Divisors: 1 2 17 23 34 46 347 391 694 782 2707 5414 5899 7981 11798 15962 30389 46019 60778 62261 92038 124522 135677 271354 516613 698947 939329 1033226 1058437 1397894 1878658 2116874 10544983 11882099 15968593 21089966 21604567 23764198 31937186 43209134 82263023 164526046 179264711 242534609 358529422 367277639 485069218 734555278 1398471391 1892049529 2796942782 3784099058 4123088353 8246176706 28545268981 32164841993 57090537962 64329683986 485269572677 656541186563 970539145354 1313082373126 11161200171571 22322400343142