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22198258164 = 22317312199569
BaseRepresentation
bin10100101011000111…
…101000100111110100
32010022000221100112210
4110223013220213310
5330430223230124
614110413413420
71414044036555
oct245307504764
963260840483
1022198258164
119461379a05
12437619a270
132129c49504
14110822c32c
1589dc41a29
hex52b1e89f4

22198258164 has 144 divisors (see below), whose sum is σ = 57053808000. Its totient is φ = 6693857280.

The previous prime is 22198258153. The next prime is 22198258213. The reversal of 22198258164 is 46185289122.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 39012472 + ... + 39013040.

It is an arithmetic number, because the mean of its divisors is an integer number (396207000).

Almost surely, 222198258164 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 22198258164, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28526904000).

22198258164 is an abundant number, since it is smaller than the sum of its proper divisors (34855549836).

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

22198258164 is a wasteful number, since it uses less digits than its factorization.

22198258164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 854 (or 821 counting only the distinct ones).

The product of its digits is 552960, while the sum is 48.

The spelling of 22198258164 in words is "twenty-two billion, one hundred ninety-eight million, two hundred fifty-eight thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 12 17 31 34 51 62 68 93 102 124 186 199 204 372 398 527 569 597 796 961 1054 1138 1194 1581 1707 1922 2108 2276 2388 2883 3162 3383 3414 3844 5766 6169 6324 6766 6828 9673 10149 11532 12338 13532 16337 17639 18507 19346 20298 24676 29019 32674 35278 37014 38692 40596 49011 52917 58038 65348 70556 74028 98022 104873 105834 113231 116076 191239 196044 209746 211668 226462 299863 314619 339693 382478 419492 452924 546809 573717 599726 629238 679386 764956 899589 1093618 1147434 1199452 1258476 1358772 1640427 1799178 1924927 2187236 2294868 3251063 3280854 3510161 3598356 3849854 5774781 6502126 6561708 7020322 7699708 9295753 9753189 10530483 11549562 13004252 14040644 18591506 19506378 21060966 23099124 27887259 37183012 39012756 42121932 55774518 59672737 108814991 111549036 119345474 179018211 217629982 238690948 326444973 358036422 435259964 652889946 716072844 1305779892 1849854847 3699709694 5549564541 7399419388 11099129082 22198258164