Search a number
-
+
222111331200020 = 22583187937119779
BaseRepresentation
bin110010100000001001010010…
…111111110010110000010100
31002010102122011120020100200202
4302200021102333302300110
5213103033001241400040
62104220311550400032
764533004562412533
oct6240112277626024
91063378146210622
10222111331200020
1164853983039589
1220ab27b7500018
1396c20160440a2
143cbc36263831a
151aa295ad00015
hexca0252ff2c14

222111331200020 has 48 divisors (see below), whose sum is σ = 472078664688960. Its totient is φ = 87769433523456.

The previous prime is 222111331200013. The next prime is 222111331200107. The reversal of 222111331200020 is 20002133111222.

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

It is a junction number, because it is equal to n+sod(n) for n = 222111331199965 and 222111331200001.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 27636491 + ... + 34756269.

It is an arithmetic number, because the mean of its divisors is an integer number (9834972181020).

Almost surely, 2222111331200020 is an apocalyptic number.

222111331200020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222111331200020 is an abundant number, since it is smaller than the sum of its proper divisors (249967333488940).

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

222111331200020 is a wasteful number, since it uses less digits than its factorization.

222111331200020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7138664 (or 7138662 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 20.

Adding to 222111331200020 its reverse (20002133111222), we get a palindrome (242113464311242).

The spelling of 222111331200020 in words is "two hundred twenty-two trillion, one hundred eleven billion, three hundred thirty-one million, two hundred thousand, twenty".

Divisors: 1 2 4 5 10 20 83 166 332 415 830 1660 18793 37586 75172 93965 187930 375860 1559819 3119638 6239276 7119779 7799095 14239558 15598190 28479116 31196380 35598895 71197790 142395580 590941657 1181883314 2363766628 2954708285 5909416570 11818833140 133802006747 267604013494 535208026988 669010033735 1338020067470 2676040134940 11105566560001 22211133120002 44422266240004 55527832800005 111055665600010 222111331200020