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22317371244 = 22327216377617
BaseRepresentation
bin10100110010001110…
…000000111101101100
32010121100001220222100
4110302032000331230
5331201221334434
614130310415100
71420021345200
oct246216007554
963540056870
1022317371244
119512635373
1243aa061490
13214882281c
141119d96b00
158a941e699
hex532380f6c

22317371244 has 108 divisors (see below), whose sum is σ = 66027148824. Its totient is φ = 6337191168.

The previous prime is 22317371213. The next prime is 22317371261. The reversal of 22317371244 is 44217371322.

It is a super-3 number, since 3×223173712443 (a number of 32 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 22317371199 and 22317371208.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 248724 + ... + 326340.

Almost surely, 222317371244 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 22317371244, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33013574412).

22317371244 is an abundant number, since it is smaller than the sum of its proper divisors (43709777580).

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

22317371244 is a wasteful number, since it uses less digits than its factorization.

22317371244 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 77804 (or 77792 counting only the distinct ones).

The product of its digits is 56448, while the sum is 36.

The spelling of 22317371244 in words is "twenty-two billion, three hundred seventeen million, three hundred seventy-one thousand, two hundred forty-four".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 163 196 252 294 326 441 489 588 652 882 978 1141 1467 1764 1956 2282 2934 3423 4564 5868 6846 7987 10269 13692 15974 20538 23961 31948 41076 47922 71883 77617 95844 143766 155234 232851 287532 310468 465702 543319 698553 931404 1086638 1397106 1629957 2173276 2794212 3259914 3803233 4889871 6519828 7606466 9779742 11409699 12651571 15212932 19559484 22819398 25303142 34229097 37954713 45638796 50606284 68458194 75909426 88560997 113864139 136916388 151818852 177121994 227728278 265682991 354243988 455456556 531365982 619926979 797048973 1062731964 1239853958 1594097946 1859780937 2479707916 3188195892 3719561874 5579342811 7439123748 11158685622 22317371244