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22197937104 = 24327129716979
BaseRepresentation
bin10100101011000110…
…011010001111010000
32010022000100001010200
4110223012122033100
5330430132441404
614110402455200
71414041231540
oct245306321720
963260301120
1022197937104
11946117a772
124376064500
132129b66335
141108187320
1589dbcb839
hex52b19a3d0

22197937104 has 120 divisors (see below), whose sum is σ = 71057088960. Its totient is φ = 6337004544.

The previous prime is 22197937081. The next prime is 22197937109. The reversal of 22197937104 is 40173979122.

It is a self number, because there is not a number n which added to its sum of digits gives 22197937104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22197937109) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1298887 + ... + 1315865.

It is an arithmetic number, because the mean of its divisors is an integer number (592142408).

Almost surely, 222197937104 is an apocalyptic number.

22197937104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22197937104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35528544480).

22197937104 is an abundant number, since it is smaller than the sum of its proper divisors (48859151856).

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

22197937104 is a wasteful number, since it uses less digits than its factorization.

22197937104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18297 (or 18288 counting only the distinct ones).

The product of its (nonzero) digits is 190512, while the sum is 45.

The spelling of 22197937104 in words is "twenty-two billion, one hundred ninety-seven million, nine hundred thirty-seven thousand, one hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 504 1008 1297 2594 3891 5188 7782 9079 10376 11673 15564 16979 18158 20752 23346 27237 31128 33958 36316 46692 50937 54474 62256 67916 72632 81711 93384 101874 108948 118853 135832 145264 152811 163422 186768 203748 217896 237706 271664 305622 326844 356559 407496 435792 475412 611244 653688 713118 814992 950824 1069677 1222488 1307376 1426236 1901648 2139354 2444976 2852472 4278708 5704944 8557416 17114832 22021763 44043526 66065289 88087052 132130578 154152341 176174104 198195867 264261156 308304682 352348208 396391734 462457023 528522312 616609364 792783468 924914046 1057044624 1233218728 1387371069 1585566936 1849828092 2466437456 2774742138 3171133872 3699656184 5549484276 7399312368 11098968552 22197937104