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22322214031345 = 510599742118577
BaseRepresentation
bin1010001001101010010111…
…01000110100111111110001
32221000222112110212002122121
411010311023220310333301
510411211343243000340
6115250403352034241
74462504162425154
oct504651350647761
987028473762577
1022322214031345
117126885977708
122606240392981
13c5bc8b956747
145725881c5c9b
1528a9ba82c94a
hex144d4ba34ff1

22322214031345 has 8 divisors (see below), whose sum is σ = 26786910185064. Its totient is φ = 17857602326784.

The previous prime is 22322214031331. The next prime is 22322214031391. The reversal of 22322214031345 is 54313041222322.

22322214031345 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1373715267136 + 20948498764209 = 1172056^2 + 4576953^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 22322214031345 - 219 = 22322213507057 is a prime.

It is a super-3 number, since 3×223222140313453 (a number of 41 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 22322214031345.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 20529304 + ... + 21589273.

It is an arithmetic number, because the mean of its divisors is an integer number (3348363773133).

Almost surely, 222322214031345 is an apocalyptic number.

It is an amenable number.

22322214031345 is a deficient number, since it is larger than the sum of its proper divisors (4464696153719).

22322214031345 is a wasteful number, since it uses less digits than its factorization.

22322214031345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42224579.

The product of its (nonzero) digits is 69120, while the sum is 34.

Adding to 22322214031345 its reverse (54313041222322), we get a palindrome (76635255253667).

The spelling of 22322214031345 in words is "twenty-two trillion, three hundred twenty-two billion, two hundred fourteen million, thirty-one thousand, three hundred forty-five".

Divisors: 1 5 105997 529985 42118577 210592885 4464442806269 22322214031345