Search a number
-
+
222243123102 = 237111346038039
BaseRepresentation
bin1100111011111010111…
…0001110111110011110
3210020122111122102011120
43032332232032332132
512120123214414402
6250032545231410
722025251243260
oct3167656167636
9706574572146
10222243123102
11862864a3870
12370a4932566
1317c5a646690
14aa8426bb30
155bab0c93bc
hex33beb8ef9e

222243123102 has 128 divisors (see below), whose sum is σ = 596996628480. Its totient is φ = 53266861440.

The previous prime is 222243123073. The next prime is 222243123187. The reversal of 222243123102 is 201321342222.

It is a super-2 number, since 2×2222431231022 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 27641599 + ... + 27649637.

It is an arithmetic number, because the mean of its divisors is an integer number (4664036160).

Almost surely, 2222243123102 is an apocalyptic number.

222243123102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 222243123102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298498314240).

222243123102 is an abundant number, since it is smaller than the sum of its proper divisors (374753505378).

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

222243123102 is a wasteful number, since it uses less digits than its factorization.

222243123102 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12678.

The product of its (nonzero) digits is 2304, while the sum is 24.

Adding to 222243123102 its reverse (201321342222), we get a palindrome (423564465324).

The spelling of 222243123102 in words is "two hundred twenty-two billion, two hundred forty-three million, one hundred twenty-three thousand, one hundred two".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 4603 6006 8039 9206 13809 16078 24117 27618 32221 48234 50633 56273 59839 64442 88429 96663 101266 104507 112546 119678 151899 168819 176858 179517 193326 209014 265287 303798 313521 337638 354431 359034 418873 530574 619003 627042 658229 708862 731549 837746 1063293 1149577 1238006 1256619 1316458 1463098 1857009 1974687 2126586 2194647 2299154 2513238 3448731 3714018 3949374 4389294 4607603 6897462 8047039 9215206 13822809 16094078 24141117 27645618 37003517 48282234 74007034 111010551 222021102 259024619 407038687 481045721 518049238 777073857 814077374 962091442 1221116061 1443137163 1554147714 2442232122 2849270809 2886274326 3367320047 5291502931 5698541618 6734640094 8547812427 10101960141 10583005862 15874508793 17095624854 20203920282 31749017586 37040520517 74081041034 111121561551 222243123102