Search a number
-
+
22211122111222 = 2115153195924017
BaseRepresentation
bin1010000110011011011100…
…00010110010001011110110
32220122100210021210211110111
411003031232002302023312
510402401334230024342
6115123352034413234
74451462211613132
oct503155602621366
986570707724414
1022211122111222
117093758430880
1225a87b7a3121a
13c51666177775
1456b049da83c2
15287b67948217
hex14336e0b22f6

22211122111222 has 16 divisors (see below), whose sum is σ = 36352525995792. Its totient is φ = 10094005304320.

The previous prime is 22211122111201. The next prime is 22211122111223.

22211122111222 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×222111221112222 (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (22).

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 junction number, because it is equal to n+sod(n) for n = 22211122111193 and 22211122111202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22211122111223) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 97848643 + ... + 98075374.

It is an arithmetic number, because the mean of its divisors is an integer number (2272032874737).

Almost surely, 222211122111222 is an apocalyptic number.

22211122111222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

22211122111222 is a deficient number, since it is larger than the sum of its proper divisors (14141403884570).

22211122111222 is a wasteful number, since it uses less digits than its factorization.

22211122111222 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195929183.

The product of its digits is 256, while the sum is 22.

Multiplying 22211122111222 by its sum of digits (22), we get a palindrome (488644686446884).

It can be divided in two parts, 2221112 and 2111222, that added together give a palindrome (4332334).

The spelling of 22211122111222 in words is "twenty-two trillion, two hundred eleven billion, one hundred twenty-two million, one hundred eleven thousand, two hundred twenty-two".

Divisors: 1 2 11 22 5153 10306 56683 113366 195924017 391848034 2155164187 4310328374 1009596459601 2019192919202 11105561055611 22211122111222