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222130131033200 = 245213291473011479
BaseRepresentation
bin110010100000011010110011…
…100011011101110001110000
31002010111102200202102211120112
4302200122303203131301300
5213103340002021030300
62104233101244200452
764534241502355025
oct6240326343356160
91063442622384515
10222130131033200
11648609500584a5
1220ab6383539128
1396c3a20b99630
143cbd22738954c
151aa31ab4eae35
hexca06b38ddc70

222130131033200 has 120 divisors (see below), whose sum is σ = 594536893557600. Its totient is φ = 79189097057280.

The previous prime is 222130131033179. The next prime is 222130131033233. The reversal of 222130131033200 is 2330131031222.

It is a super-2 number, since 2×2221301310332002 (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 736354940 + ... + 736656539.

It is an arithmetic number, because the mean of its divisors is an integer number (4954474112980).

Almost surely, 2222130131033200 is an apocalyptic number.

222130131033200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

222130131033200 is an abundant number, since it is smaller than the sum of its proper divisors (372406762524400).

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

222130131033200 is a wasteful number, since it uses less digits than its factorization.

222130131033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1473011539 (or 1473011528 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 23.

Adding to 222130131033200 its reverse (2330131031222), we get a palindrome (224460262064422).

The spelling of 222130131033200 in words is "two hundred twenty-two trillion, one hundred thirty billion, one hundred thirty-one million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 29 40 50 52 58 65 80 100 104 116 130 145 200 208 232 260 290 325 377 400 464 520 580 650 725 754 1040 1160 1300 1450 1508 1885 2320 2600 2900 3016 3770 5200 5800 6032 7540 9425 11600 15080 18850 30160 37700 75400 150800 1473011479 2946022958 5892045916 7365057395 11784091832 14730114790 19149149227 23568183664 29460229580 36825286975 38298298454 42717332891 58920459160 73650573950 76596596908 85434665782 95745746135 117840918320 147301147900 153193193816 170869331564 191491492270 213586664455 294602295800 306386387632 341738663128 382982984540 427173328910 478728730675 555325327583 589204591600 683477326256 765965969080 854346657820 957457461350 1067933322275 1110650655166 1531931938160 1708693315640 1914914922700 2135866644550 2221301310332 2776626637915 3417386631280 3829829845400 4271733289100 4442602620664 5553253275830 7659659690800 8543466578200 8885205241328 11106506551660 13883133189575 17086933156400 22213013103320 27766266379150 44426026206640 55532532758300 111065065516600 222130131033200