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22021845040 = 2451358736073
BaseRepresentation
bin10100100000100110…
…101011000000110000
32002211201222122020101
4110200212223000300
5330100043020130
614041112322144
71406502410566
oct244046530060
962751878211
1022021845040
119380837138
1243270a3354
1320cc530150
1410cca29a36
1588d4e61ca
hex5209ab030

22021845040 has 80 divisors (see below), whose sum is σ = 55234777248. Its totient is φ = 8117065728.

The previous prime is 22021845023. The next prime is 22021845047. The reversal of 22021845040 is 4054812022.

It is a tau number, because it is divible by the number of its divisors (80).

It is not an unprimeable number, because it can be changed into a prime (22021845047) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 592444 + ... + 628516.

Almost surely, 222021845040 is an apocalyptic number.

22021845040 is a gapful number since it is divisible by the number (20) 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 22021845040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27617388624).

22021845040 is an abundant number, since it is smaller than the sum of its proper divisors (33212932208).

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

22021845040 is a wasteful number, since it uses less digits than its factorization.

22021845040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36686 (or 36680 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 28.

The spelling of 22021845040 in words is "twenty-two billion, twenty-one million, eight hundred forty-five thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 587 1040 1174 2348 2935 4696 5870 7631 9392 11740 15262 23480 30524 36073 38155 46960 61048 72146 76310 122096 144292 152620 180365 288584 305240 360730 468949 577168 610480 721460 937898 1442920 1875796 2344745 2885840 3751592 4689490 7503184 9378980 18757960 21174851 37515920 42349702 84699404 105874255 169398808 211748510 275273063 338797616 423497020 550546126 846994040 1101092252 1376365315 1693988080 2202184504 2752730630 4404369008 5505461260 11010922520 22021845040