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22160429874 = 2341121158937
BaseRepresentation
bin10100101000110111…
…010101001100110010
32010012101202110220000
4110220313111030302
5330341032223444
614102542530430
71413104355162
oct245067251462
963171673800
1022160429874
119441a91a60
124365596a16
1321221632cb
1411031c25a2
1589a76d469
hex528dd5332

22160429874 has 80 divisors (see below), whose sum is σ = 54427592736. Its totient is φ = 6683342400.

The previous prime is 22160429857. The next prime is 22160429891. The reversal of 22160429874 is 47892406122.

22160429874 is a `hidden beast` number, since 2 + 216 + 0 + 429 + 8 + 7 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22160429857) and next prime (22160429891).

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 39 ways as a sum of consecutive naturals, for example, 346534 + ... + 405470.

Almost surely, 222160429874 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22160429874, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27213796368).

22160429874 is an abundant number, since it is smaller than the sum of its proper divisors (32267162862).

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

22160429874 is a wasteful number, since it uses less digits than its factorization.

22160429874 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 59173 (or 59164 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 22160429874 in words is "twenty-two billion, one hundred sixty million, four hundred twenty-nine thousand, eight hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 81 99 162 198 211 297 422 594 633 891 1266 1782 1899 2321 3798 4642 5697 6963 11394 13926 17091 20889 34182 41778 58937 62667 117874 125334 176811 188001 353622 376002 530433 648307 1060866 1296614 1591299 1944921 3182598 3889842 4773897 5834763 9547794 11669526 12435707 17504289 24871414 35008578 37307121 52512867 74614242 105025734 111921363 136792777 223842726 273585554 335764089 410378331 671528178 820756662 1007292267 1231134993 2014584534 2462269986 3693404979 7386809958 11080214937 22160429874