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22014242004 = 223171933117159
BaseRepresentation
bin10100100000001001…
…101010110011010100
32002211012200100211110
4110200021222303110
5330041121221004
614040241335020
71406350653366
oct244011526324
962735610743
1022014242004
119377513937
124324637470
1320caa9a601
1410cba0ad36
1588c9e3589
hex52026acd4

22014242004 has 96 divisors (see below), whose sum is σ = 57426969600. Its totient is φ = 6522785280.

The previous prime is 22014241999. The next prime is 22014242051. The reversal of 22014242004 is 40024241022.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1274377 + ... + 1291535.

It is an arithmetic number, because the mean of its divisors is an integer number (598197600).

Almost surely, 222014242004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22014242004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28713484800).

22014242004 is an abundant number, since it is smaller than the sum of its proper divisors (35412727596).

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

22014242004 is a wasteful number, since it uses less digits than its factorization.

22014242004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17533 (or 17531 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

Adding to 22014242004 its reverse (40024241022), we get a palindrome (62038483026).

The spelling of 22014242004 in words is "twenty-two billion, fourteen million, two hundred forty-two thousand, four".

Divisors: 1 2 3 4 6 12 17 19 34 38 51 57 68 76 102 114 204 228 323 331 646 662 969 993 1292 1324 1938 1986 3876 3972 5627 6289 11254 12578 16881 17159 18867 22508 25156 33762 34318 37734 51477 67524 68636 75468 102954 106913 205908 213826 291703 320739 326021 427652 583406 641478 652042 875109 978063 1166812 1282956 1304084 1750218 1956126 3500436 3912252 5542357 5679629 11084714 11359258 16627071 17038887 22169428 22718516 33254142 34077774 66508284 68155548 96553693 107912951 193107386 215825902 289661079 323738853 386214772 431651804 579322158 647477706 1158644316 1294955412 1834520167 3669040334 5503560501 7338080668 11007121002 22014242004