Search a number
-
+
222232120203 = 317371134632251
BaseRepresentation
bin1100111011111000010…
…0010000101110001011
3210020121201221102000210
43032332010100232023
512120112410321303
6250031513332203
722025055565662
oct3167604205613
9706551842023
10222232120203
1186280269165
12370a1107063
1317c582934a2
14aa82a05dd9
155baa154203
hex33be110b8b

222232120203 has 64 divisors (see below), whose sum is σ = 325917222912. Its totient is φ = 134120448000.

The previous prime is 222232120199. The next prime is 222232120207. The reversal of 222232120203 is 302021232222.

222232120203 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (222232120199) and next prime (222232120207).

It is not a de Polignac number, because 222232120203 - 22 = 222232120199 is a prime.

It is a super-2 number, since 2×2222321202032 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 222232120203.

It is not an unprimeable number, because it can be changed into a prime (222232120207) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 98724828 + ... + 98727078.

It is an arithmetic number, because the mean of its divisors is an integer number (5092456608).

Almost surely, 2222232120203 is an apocalyptic number.

222232120203 is a deficient number, since it is larger than the sum of its proper divisors (103685102709).

222232120203 is a wasteful number, since it uses less digits than its factorization.

222232120203 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2884.

The product of its (nonzero) digits is 1152, while the sum is 21.

Adding to 222232120203 its reverse (302021232222), we get a palindrome (524253352425).

The spelling of 222232120203 in words is "two hundred twenty-two billion, two hundred thirty-two million, one hundred twenty thousand, two hundred three".

Divisors: 1 3 17 37 51 111 113 339 463 629 1389 1887 1921 2251 4181 5763 6753 7871 12543 17131 23613 38267 51393 52319 71077 83287 114801 156957 213231 249861 254363 291227 763089 873681 889423 1042213 1415879 1935803 2668269 3126639 4247637 4324171 5807409 9411431 12972513 17717621 28234293 32908651 38561881 53152863 98725953 115685643 117770069 159994327 353310207 479982981 655551977 1966655931 2002091173 4357492553 6006273519 13072477659 74077373401 222232120203