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22072083193 = 2329376131459
BaseRepresentation
bin10100100011100110…
…010100001011111001
32002222020112000000201
4110203212110023321
5330200423130233
614050105202201
71410652416526
oct244346241371
962866460021
1022072083193
1193a712a876
12433ba90361
132109a6ca74
1410d558614d
15892b1b77d
hex5239942f9

22072083193 has 32 divisors (see below), whose sum is σ = 24526598400. Its totient is φ = 19787556096.

The previous prime is 22072083167. The next prime is 22072083197. The reversal of 22072083193 is 39138027022.

It is a cyclic number.

It is not a de Polignac number, because 22072083193 - 233 = 13482148601 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (37).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (22072083197) 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 31 ways as a sum of consecutive naturals, for example, 15127498 + ... + 15128956.

It is an arithmetic number, because the mean of its divisors is an integer number (766456200).

Almost surely, 222072083193 is an apocalyptic number.

22072083193 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

It is an amenable number.

22072083193 is a deficient number, since it is larger than the sum of its proper divisors (2454515207).

22072083193 is a wasteful number, since it uses less digits than its factorization.

22072083193 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2161.

The product of its (nonzero) digits is 36288, while the sum is 37.

The spelling of 22072083193 in words is "twenty-two billion, seventy-two million, eighty-three thousand, one hundred ninety-three".

Divisors: 1 23 29 37 613 667 851 1073 1459 14099 17777 22681 24679 33557 42311 53983 408871 521663 657749 894367 973153 1241609 1565507 15128227 20570441 25936643 33091579 36006661 596542789 761106317 959655791 22072083193