Search a number
-
+
22442411220 = 22354346118869
BaseRepresentation
bin10100111001101011…
…000000010011010100
32010221001100121120120
4110321223000103110
5331430224124340
614150534431540
71423100230215
oct247153002324
963831317516
1022442411220
119577179799
124423b025b0
1321686c2788
14112c82540c
158b53bd4d0
hex539ac04d4

22442411220 has 96 divisors (see below), whose sum is σ = 64443012480. Its totient is φ = 5832476160.

The previous prime is 22442411153. The next prime is 22442411237. The reversal of 22442411220 is 2211424422.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1179946 + ... + 1198814.

It is an arithmetic number, because the mean of its divisors is an integer number (671281380).

Almost surely, 222442411220 is an apocalyptic number.

22442411220 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 22442411220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32221506240).

22442411220 is an abundant number, since it is smaller than the sum of its proper divisors (42000601260).

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

22442411220 is a wasteful number, since it uses less digits than its factorization.

22442411220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19385 (or 19383 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 22442411220 its reverse (2211424422), we get a palindrome (24653835642).

The spelling of 22442411220 in words is "twenty-two billion, four hundred forty-two million, four hundred eleven thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 43 60 86 129 172 215 258 430 461 516 645 860 922 1290 1383 1844 2305 2580 2766 4610 5532 6915 9220 13830 18869 19823 27660 37738 39646 56607 59469 75476 79292 94345 99115 113214 118938 188690 198230 226428 237876 283035 297345 377380 396460 566070 594690 811367 1132140 1189380 1622734 2434101 3245468 4056835 4868202 8113670 8698609 9736404 12170505 16227340 17397218 24341010 26095827 34794436 43493045 48682020 52191654 86986090 104383308 130479135 173972180 260958270 374040187 521916540 748080374 1122120561 1496160748 1870200935 2244241122 3740401870 4488482244 5610602805 7480803740 11221205610 22442411220