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22234101340319 = 11212722723926669
BaseRepresentation
bin1010000111000110001111…
…01101100101100010011111
32220201120002202021121201122
411003203013231211202133
510403240414420342234
6115142112151201155
74453234521053141
oct503430755454237
986646082247648
1022234101340319
1170a247a623800
1225b114b6761bb
13c53888b4364b
1456c1c9c0ac91
1528856000392e
hex1438c7b6589f

22234101340319 has 48 divisors (see below), whose sum is σ = 24844525977600. Its totient is φ = 19881038802240.

The previous prime is 22234101340307. The next prime is 22234101340369. The reversal of 22234101340319 is 91304310143222.

It is not a de Polignac number, because 22234101340319 - 232 = 22229806373023 is a prime.

It is a super-2 number, since 2×222341013403192 (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22234101340369) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 833692517 + ... + 833719185.

It is an arithmetic number, because the mean of its divisors is an integer number (517594291200).

Almost surely, 222234101340319 is an apocalyptic number.

22234101340319 is a deficient number, since it is larger than the sum of its proper divisors (2610424637281).

22234101340319 is a wasteful number, since it uses less digits than its factorization.

22234101340319 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27284 (or 27273 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 35.

The spelling of 22234101340319 in words is "twenty-two trillion, two hundred thirty-four billion, one hundred one million, three hundred forty thousand, three hundred nineteen".

Divisors: 1 11 121 127 227 239 1397 2497 2629 15367 26669 27467 28829 28919 30353 54253 293359 317119 333883 596783 3226949 3386963 3488309 3672713 6053863 6373891 6564613 6890131 37256593 66592493 70112801 75791441 409822523 732517423 768840601 771240811 809484157 833705851 1446873257 8457246611 8904325727 15915605827 93029712721 97947582997 175071664097 183752903639 2021281940029 22234101340319