Search a number
-
+
223311222113322 = 2375316933859841
BaseRepresentation
bin110010110001100110110010…
…000100011000010000101010
31002021200100022000200021212010
4302301212302010120100222
5213232212340330111242
62110535431553100350
765015463155036550
oct6261466204302052
91067610260607763
10223311222113322
1165176837198182
12210672645576b6
13977b208b56345
143d2046c487bd0
151ac3c8613d89c
hexcb19b211842a

223311222113322 has 16 divisors (see below), whose sum is σ = 510425650544832. Its totient is φ = 63803206318080.

The previous prime is 223311222113297. The next prime is 223311222113327.

It is a happy number.

223311222113322 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2233112221133222 (a number of 29 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a zygodrome in base 10.

It is a self number, because there is not a number n which added to its sum of digits gives 223311222113322.

It is not an unprimeable number, because it can be changed into a prime (223311222113327) 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 7 ways as a sum of consecutive naturals, for example, 2658466929879 + ... + 2658466929962.

It is an arithmetic number, because the mean of its divisors is an integer number (31901603159052).

Almost surely, 2223311222113322 is an apocalyptic number.

223311222113322 is an abundant number, since it is smaller than the sum of its proper divisors (287114428431510).

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

223311222113322 is a wasteful number, since it uses less digits than its factorization.

223311222113322 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316933859853.

The product of its digits is 10368, while the sum is 30.

The spelling of 223311222113322 in words is "two hundred twenty-three trillion, three hundred eleven billion, two hundred twenty-two million, one hundred thirteen thousand, three hundred twenty-two".

Divisors: 1 2 3 6 7 14 21 42 5316933859841 10633867719682 15950801579523 31901603159046 37218537018887 74437074037774 111655611056661 223311222113322