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22159383930 = 23254328320233
BaseRepresentation
bin10100101000110011…
…010101110101111010
32010012022210100010100
4110220303111311322
5330340300241210
614102504300230
71413062440605
oct245063256572
963168710110
1022159383930
119441438142
124365171676
132121b881c8
141102dcd33c
1589a6135c0
hex528cd5d7a

22159383930 has 96 divisors (see below), whose sum is σ = 59165510976. Its totient is φ = 5751067392.

The previous prime is 22159383913. The next prime is 22159383931. The reversal of 22159383930 is 3938395122.

22159383930 is a `hidden beast` number, since 2 + 21 + 593 + 8 + 3 + 9 + 30 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (22159383931) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1085094 + ... + 1105326.

It is an arithmetic number, because the mean of its divisors is an integer number (616307406).

Almost surely, 222159383930 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22159383930, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29582755488).

22159383930 is an abundant number, since it is smaller than the sum of its proper divisors (37006127046).

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

22159383930 is a wasteful number, since it uses less digits than its factorization.

22159383930 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20572 (or 20569 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 22159383930 in words is "twenty-two billion, one hundred fifty-nine million, three hundred eighty-three thousand, nine hundred thirty".

Divisors: 1 2 3 5 6 9 10 15 18 30 43 45 86 90 129 215 258 283 387 430 566 645 774 849 1290 1415 1698 1935 2547 2830 3870 4245 5094 8490 12169 12735 20233 24338 25470 36507 40466 60699 60845 73014 101165 109521 121398 121690 182097 182535 202330 219042 303495 364194 365070 547605 606990 870019 910485 1095210 1740038 1820970 2610057 4350095 5220114 5725939 7830171 8700190 11451878 13050285 15660342 17177817 26100570 28629695 34355634 39150855 51533451 57259390 78301710 85889085 103066902 171778170 246215377 257667255 492430754 515334510 738646131 1231076885 1477292262 2215938393 2462153770 3693230655 4431876786 7386461310 11079691965 22159383930