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22035135668 = 227133110318959
BaseRepresentation
bin10100100001011001…
…010111110010110100
32002212122222212112212
4110201121113302310
5330111443320133
614042305232552
71410023364020
oct244131276264
962778885485
1022035135668
119388294627
12432b632758
132102204720
1410d06c9380
1588e76e148
hex521657cb4

22035135668 has 96 divisors (see below), whose sum is σ = 49469521920. Its totient is φ = 8353653120.

The previous prime is 22035135649. The next prime is 22035135679. The reversal of 22035135668 is 86653153022.

It is a congruent number.

It is an unprimeable number.

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, 1152773 + ... + 1171731.

It is an arithmetic number, because the mean of its divisors is an integer number (515307520).

Almost surely, 222035135668 is an apocalyptic number.

22035135668 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22035135668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24734760960).

22035135668 is an abundant number, since it is smaller than the sum of its proper divisors (27434386252).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

22035135668 is a wasteful number, since it uses less digits than its factorization.

22035135668 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19117 (or 19115 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 41.

The spelling of 22035135668 in words is "twenty-two billion, thirty-five million, one hundred thirty-five thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 31 52 62 91 103 124 182 206 217 364 403 412 434 721 806 868 1339 1442 1612 2678 2821 2884 3193 5356 5642 6386 9373 11284 12772 18746 18959 22351 37492 37918 41509 44702 75836 83018 89404 132713 166036 246467 265426 290563 492934 530852 581126 587729 985868 1162252 1175458 1725269 1952777 2350916 3450538 3905554 4114103 6901076 7640477 7811108 8228206 13669439 15280954 16456412 25386101 27338878 30561908 50772202 53483339 54677756 60536087 101544404 106966678 121072174 177702707 213933356 242144348 355405414 423752609 710810828 786969131 847505218 1573938262 1695010436 3147876524 5508783917 11017567834 22035135668