Search a number
-
+
22102002212220 = 22325717541271597
BaseRepresentation
bin1010000011010000001011…
…11111011001110101111100
32220020221010112110121200200
411001220011333121311330
510344104400031242340
6115001304124323500
74440550135022610
oct501500577316574
986227115417620
1022102002212220
117051452061667
12258b6239a3590
13c442960c7aa8
14565a57a41340
15284dccc4b330
hex141a05fd9d7c

22102002212220 has 72 divisors (see below), whose sum is σ = 76620274340064. Its totient is φ = 5051886219648.

The previous prime is 22102002212201. The next prime is 22102002212239. The reversal of 22102002212220 is 2221220020122.

22102002212220 is a `hidden beast` number, since 2 + 21 + 0 + 200 + 221 + 2 + 220 = 666.

It is an interprime number because it is at equal distance from previous prime (22102002212201) and next prime (22102002212239).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22102002212193 and 22102002212202.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8770634539 + ... + 8770637058.

Almost surely, 222102002212220 is an apocalyptic number.

22102002212220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22102002212220 is an abundant number, since it is smaller than the sum of its proper divisors (54518272127844).

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

22102002212220 is a wasteful number, since it uses less digits than its factorization.

22102002212220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17541271619 (or 17541271614 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

Adding to 22102002212220 its reverse (2221220020122), we get a palindrome (24323222232342).

The spelling of 22102002212220 in words is "twenty-two trillion, one hundred two billion, two million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 17541271597 35082543194 52623814791 70165086388 87706357985 105247629582 122788901179 157871444373 175412715970 210495259164 245577802358 263119073955 315742888746 350825431940 368366703537 491155604716 526238147910 613944505895 631485777492 736733407074 789357221865 1052476295820 1105100110611 1227889011790 1473466814148 1578714443730 1841833517685 2210200221222 2455778023580 3157428887460 3683667035370 4420400442444 5525500553055 7367334070740 11051001106110 22102002212220