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22122220341 = 31323311316073
BaseRepresentation
bin10100100110100101…
…100100101100110101
32010002201212020021010
4110212211210230311
5330301242022331
614055055542433
71412131525134
oct244645445465
963081766233
1022122220341
119422464631
12435482aa19
132117275710
1410dc0b791b
15897221e46
hex526964b35

22122220341 has 64 divisors (see below), whose sum is σ = 34482438144. Its totient is φ = 12503462400.

The previous prime is 22122220327. The next prime is 22122220349. The reversal of 22122220341 is 14302222122.

It is not a de Polignac number, because 22122220341 - 215 = 22122187573 is a prime.

It is a super-3 number, since 3×221222203413 (a number of 32 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22122220349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3639681 + ... + 3645753.

It is an arithmetic number, because the mean of its divisors is an integer number (538788096).

Almost surely, 222122220341 is an apocalyptic number.

It is an amenable number.

22122220341 is a deficient number, since it is larger than the sum of its proper divisors (12360217803).

22122220341 is a wasteful number, since it uses less digits than its factorization.

22122220341 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6274.

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22122220341 its reverse (14302222122), we get a palindrome (36424442463).

The spelling of 22122220341 in words is "twenty-two billion, one hundred twenty-two million, two hundred twenty thousand, three hundred forty-one".

Divisors: 1 3 13 23 31 39 69 93 131 299 393 403 713 897 1209 1703 2139 3013 4061 5109 6073 9039 9269 12183 18219 27807 39169 52793 78949 93403 117507 139679 158379 188263 236847 280209 419037 564789 795563 1214239 1815827 2386689 2447419 3642717 4330049 5447481 7342257 10342319 12990147 18297949 24662453 31026957 54893847 56290637 73987359 168871911 237873337 320611889 567236419 713620011 961835667 1701709257 7374073447 22122220341