Search a number
-
+
22260763860 = 22354157715683
BaseRepresentation
bin10100101110110110…
…000100110011010100
32010110101112222020120
4110232312010303110
5331042223420420
614120525231540
71415433241116
oct245666046324
963411488216
1022260763860
119493691405
1243931025b0
132139b92b2a
14111265d3b6
158a448bd40
hex52ed84cd4

22260763860 has 96 divisors (see below), whose sum is σ = 63965123712. Its totient is φ = 5781012480.

The previous prime is 22260763817. The next prime is 22260763891. The reversal of 22260763860 is 6836706222.

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, 1411579 + ... + 1427261.

It is an arithmetic number, because the mean of its divisors is an integer number (666303372).

Almost surely, 222260763860 is an apocalyptic number.

22260763860 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 22260763860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31982561856).

22260763860 is an abundant number, since it is smaller than the sum of its proper divisors (41704359852).

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

22260763860 is a wasteful number, since it uses less digits than its factorization.

22260763860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16313 (or 16311 counting only the distinct ones).

The product of its (nonzero) digits is 290304, while the sum is 42.

The spelling of 22260763860 in words is "twenty-two billion, two hundred sixty million, seven hundred sixty-three thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 41 60 82 123 164 205 246 410 492 577 615 820 1154 1230 1731 2308 2460 2885 3462 5770 6924 8655 11540 15683 17310 23657 31366 34620 47049 47314 62732 70971 78415 94098 94628 118285 141942 156830 188196 235245 236570 283884 313660 354855 470490 473140 643003 709710 940980 1286006 1419420 1929009 2572012 3215015 3858018 6430030 7716036 9049091 9645045 12860060 18098182 19290090 27147273 36196364 38580180 45245455 54294546 90490910 108589092 135736365 180981820 271472730 371012731 542945460 742025462 1113038193 1484050924 1855063655 2226076386 3710127310 4452152772 5565190965 7420254620 11130381930 22260763860