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2221112012200 = 235234943977237
BaseRepresentation
bin100000010100100100100…
…101111010110110101000
321212100002010002212200021
4200110210211322312220
5242342314133342300
64420210442450224
7316320140412034
oct40244445726650
97770063085607
102221112012200
11786a71910254
122ba571b03974
131315b0756553
14797068011c4
153cb99b27d1a
hex2052497ada8

2221112012200 has 96 divisors (see below), whose sum is σ = 5180775831000. Its totient is φ = 885575255040.

The previous prime is 2221112012177. The next prime is 2221112012213. The reversal of 2221112012200 is 22102111222.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 410596445284 + 1810515566916 = 640778^2 + 1345554^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 306906982 + ... + 306914218.

Almost surely, 22221112012200 is an apocalyptic number.

2221112012200 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 2221112012200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2590387915500).

2221112012200 is an abundant number, since it is smaller than the sum of its proper divisors (2959663818800).

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

2221112012200 is a wasteful number, since it uses less digits than its factorization.

2221112012200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11999 (or 11990 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 16.

Adding to 2221112012200 its reverse (22102111222), we get a palindrome (2243214123422).

The spelling of 2221112012200 in words is "two trillion, two hundred twenty-one billion, one hundred twelve million, twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 349 698 1396 1745 2792 3490 4397 6980 7237 8725 8794 13960 14474 17450 17588 21985 28948 34900 35176 36185 43970 57896 69800 72370 87940 109925 144740 175880 180925 219850 289480 361850 439700 723700 879400 1447400 1534553 2525713 3069106 5051426 6138212 7672765 10102852 12276424 12628565 15345530 20205704 25257130 30691060 31821089 38363825 50514260 61382120 63142825 63642178 76727650 101028520 126285650 127284356 153455300 159105445 252571300 254568712 306910600 318210890 505142600 636421780 795527225 1272843560 1591054450 3182108900 6364217800 11105560061 22211120122 44422240244 55527800305 88844480488 111055600610 222111201220 277639001525 444222402440 555278003050 1110556006100 2221112012200