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22133032233201 = 349710925843877
BaseRepresentation
bin1010000100001001111111…
…00001100010100011110001
32220100220020001221000020000
411002010333201202203301
510400111422222430301
6115023435153340213
74443026112606231
oct502047741424361
986326201830200
1022133032233201
1170636257636aa
122595643867669
13c4719c9ab756
1456735cbadcc1
15285ae6ed6786
hex14213f8628f1

22133032233201 has 40 divisors (see below), whose sum is σ = 33710237585640. Its totient is φ = 14469262543872.

The previous prime is 22133032233133. The next prime is 22133032233203. The reversal of 22133032233201 is 10233223033122.

22133032233201 is a `hidden beast` number, since 2 + 2 + 1 + 3 + 3 + 0 + 322 + 332 + 0 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 977677978176 + 21155354255025 = 988776^2 + 4599495^2 .

It is not a de Polignac number, because 22133032233201 - 243 = 13336939210993 is a prime.

It is a super-2 number, since 2×221330322332012 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22133032233203) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 12065526 + ... + 13778351.

It is an arithmetic number, because the mean of its divisors is an integer number (842755939641).

Almost surely, 222133032233201 is an apocalyptic number.

It is an amenable number.

22133032233201 is a deficient number, since it is larger than the sum of its proper divisors (11577205352439).

22133032233201 is a wasteful number, since it uses less digits than its factorization.

22133032233201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25844095 (or 25844086 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 27.

Adding to 22133032233201 its reverse (10233223033122), we get a palindrome (32366255266323).

The spelling of 22133032233201 in words is "twenty-two trillion, one hundred thirty-three billion, thirty-two million, two hundred thirty-three thousand, two hundred one".

Divisors: 1 3 9 27 81 97 109 291 327 873 981 2619 2943 7857 8829 10573 31719 95157 285471 856413 25843877 77531631 232594893 697784679 2093354037 2506856069 2816982593 7520568207 8450947779 22561704621 25352843337 67685113863 76058530011 203055341589 228175590033 273247311521 819741934563 2459225803689 7377677411067 22133032233201