Search a number
-
+
22023104240 = 2451731152069
BaseRepresentation
bin10100100000101011…
…011110011011110000
32002211211100121112102
4110200223132123300
5330100403313430
614041155315532
71406516203664
oct244053363360
962754317472
1022023104240
1193815171a5
1243275abba8
1320cc881337
1410ccc768a4
1588d694345
hex520ade6f0

22023104240 has 80 divisors (see below), whose sum is σ = 54391072320. Its totient is φ = 8264232960.

The previous prime is 22023104239. The next prime is 22023104267. The reversal of 22023104240 is 4240132022.

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

It is a Harshad number since it is a multiple of its sum of digits (20).

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 15 ways as a sum of consecutive naturals, for example, 396926 + ... + 448994.

It is an arithmetic number, because the mean of its divisors is an integer number (679888404).

Almost surely, 222023104240 is an apocalyptic number.

22023104240 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 22023104240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27195536160).

22023104240 is an abundant number, since it is smaller than the sum of its proper divisors (32367968080).

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

22023104240 is a wasteful number, since it uses less digits than its factorization.

22023104240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52410 (or 52404 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

Adding to 22023104240 its reverse (4240132022), we get a palindrome (26263236262).

The spelling of 22023104240 in words is "twenty-two billion, twenty-three million, one hundred four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 17 20 34 40 68 80 85 136 170 272 311 340 622 680 1244 1360 1555 2488 3110 4976 5287 6220 10574 12440 21148 24880 26435 42296 52069 52870 84592 104138 105740 208276 211480 260345 416552 422960 520690 833104 885173 1041380 1770346 2082760 3540692 4165520 4425865 7081384 8851730 14162768 16193459 17703460 32386918 35406920 64773836 70813840 80967295 129547672 161934590 259095344 275288803 323869180 550577606 647738360 1101155212 1295476720 1376444015 2202310424 2752888030 4404620848 5505776060 11011552120 22023104240