Search a number
-
+
22022033020 = 225136710871163
BaseRepresentation
bin10100100000100111…
…011000111001111100
32002211202100012002121
4110200213120321330
5330100120024040
614041120332324
71406504122621
oct244047307174
962752305077
1022022033020
119380955399
1243271740a4
1320cc597890
1410cca78348
1588d531c4a
hex5209d8e7c

22022033020 has 96 divisors (see below), whose sum is σ = 50637017088. Its totient is φ = 7995601152.

The previous prime is 22022033003. The next prime is 22022033041. The reversal of 22022033020 is 2033022022.

It is a junction number, because it is equal to n+sod(n) for n = 22022032985 and 22022033003.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18934959 + ... + 18936121.

It is an arithmetic number, because the mean of its divisors is an integer number (527468928).

Almost surely, 222022033020 is an apocalyptic number.

22022033020 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 22022033020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25318508544).

22022033020 is an abundant number, since it is smaller than the sum of its proper divisors (28614984068).

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

22022033020 is a wasteful number, since it uses less digits than its factorization.

22022033020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2339 (or 2337 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

Adding to 22022033020 its reverse (2033022022), we get a palindrome (24055055042).

The spelling of 22022033020 in words is "twenty-two billion, twenty-two million, thirty-three thousand, twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 67 130 134 260 268 335 670 871 1087 1163 1340 1742 2174 2326 3484 4348 4355 4652 5435 5815 8710 10870 11630 14131 15119 17420 21740 23260 28262 30238 56524 60476 70655 72829 75595 77921 141310 145658 151190 155842 282620 291316 302380 311684 364145 389605 728290 779210 946777 1012973 1264181 1456580 1558420 1893554 2025946 2528362 3787108 4051892 4733885 5056724 5064865 6320905 9467770 10129730 12641810 16434353 18935540 20259460 25283620 32868706 65737412 82171765 84700127 164343530 169400254 328687060 338800508 423500635 847001270 1101101651 1694002540 2202203302 4404406604 5505508255 11011016510 22022033020