Search a number
-
+
2222112102200 = 2352171193547831
BaseRepresentation
bin100000010101100000001…
…100111101011100111000
321212102122210221201020122
4200111200030331130320
5242401341144232300
64420454010112412
7316354003136234
oct40254014753470
97772583851218
102222112102200
11787435395711
122ba7b0a1b708
1313170c9c5693
147979d5735c4
153cc07825c85
hex2056033d738

2222112102200 has 96 divisors (see below), whose sum is σ = 5474912484960. Its totient is φ = 835857100800.

The previous prime is 2222112102181. The next prime is 2222112102209. The reversal of 2222112102200 is 22012112222.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (17).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222112102209) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3782285 + ... + 4330115.

It is an arithmetic number, because the mean of its divisors is an integer number (57030338385).

Almost surely, 22222112102200 is an apocalyptic number.

2222112102200 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 2222112102200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2737456242480).

2222112102200 is an abundant number, since it is smaller than the sum of its proper divisors (3252800382760).

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

2222112102200 is a wasteful number, since it uses less digits than its factorization.

2222112102200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 549057 (or 549048 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

Adding to 2222112102200 its reverse (22012112222), we get a palindrome (2244124214422).

The spelling of 2222112102200 in words is "two trillion, two hundred twenty-two billion, one hundred twelve million, one hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 17 20 25 34 40 50 68 85 100 136 170 200 340 425 680 850 1193 1700 2386 3400 4772 5965 9544 11930 20281 23860 29825 40562 47720 59650 81124 101405 119300 162248 202810 238600 405620 507025 547831 811240 1014050 1095662 2028100 2191324 2739155 4056200 4382648 5478310 9313127 10956620 13695775 18626254 21913240 27391550 37252508 46565635 54783100 74505016 93131270 109566200 186262540 232828175 372525080 465656350 653562383 931312700 1307124766 1862625400 2614249532 3267811915 5228499064 6535623830 11110560511 13071247660 16339059575 22221121022 26142495320 32678119150 44442242044 55552802555 65356238300 88884484088 111105605110 130712476600 222211210220 277764012775 444422420440 555528025550 1111056051100 2222112102200