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22022264214431 = 1347191709266159
BaseRepresentation
bin1010000000111011101010…
…01111000101001110011111
32212222022022110100122011022
411000131311033011032133
510341303044114330211
6114500515530314355
74432025144152055
oct500356517051637
985868273318138
1022022264214431
117020654036738
12257808b8889bb
13c398c9348690
14561c519c81d5
15282cb2782bdb
hex1407753c539f

22022264214431 has 32 divisors (see below), whose sum is σ = 24382129766400. Its totient is φ = 19763572936320.

The previous prime is 22022264214407. The next prime is 22022264214437. The reversal of 22022264214431 is 13441246222022.

It is a cyclic number.

It is not a de Polignac number, because 22022264214431 - 230 = 22021190472607 is a prime.

It is a super-2 number, since 2×220222642144312 (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 22022264214391 and 22022264214400.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022264214437) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 82607930 + ... + 82874088.

It is an arithmetic number, because the mean of its divisors is an integer number (761941555200).

Almost surely, 222022264214431 is an apocalyptic number.

22022264214431 is a deficient number, since it is larger than the sum of its proper divisors (2359865551969).

22022264214431 is a wasteful number, since it uses less digits than its factorization.

22022264214431 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267119.

The product of its (nonzero) digits is 73728, while the sum is 35.

The spelling of 22022264214431 in words is "twenty-two trillion, twenty-two billion, two hundred sixty-four million, two hundred fourteen thousand, four hundred thirty-one".

Divisors: 1 13 47 191 611 709 2483 8977 9217 33323 116701 135419 266159 433199 1760447 3460067 6364693 12509473 50836369 82741009 162623149 188706731 660872797 2389309343 2453187503 8869216357 31061021459 36042985621 115299812641 468558813073 1694020324187 22022264214431