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226113311622 = 231179318113633
BaseRepresentation
bin1101001010010101100…
…1110101001110000110
3210121122020002100202010
43102211121311032012
512201040001432442
6251513000555050
722223204302602
oct3224531651606
9717566070663
10226113311622
1187992084780
12379a4a82a86
13184263b7363
14ad30270502
155d35c5bb9c
hex34a5675386

226113311622 has 64 divisors (see below), whose sum is σ = 499776629760. Its totient is φ = 67625625600.

The previous prime is 226113311621. The next prime is 226113311689.

226113311622 is nontrivially palindromic in base 10.

226113311622 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2261133116222 (a number of 24 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 226113311622.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226113311621) 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 31 ways as a sum of consecutive naturals, for example, 16578918 + ... + 16592550.

It is an arithmetic number, because the mean of its divisors is an integer number (7809009840).

Almost surely, 2226113311622 is an apocalyptic number.

226113311622 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 226113311622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249888314880).

226113311622 is an abundant number, since it is smaller than the sum of its proper divisors (273663318138).

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

226113311622 is a wasteful number, since it uses less digits than its factorization.

226113311622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16909.

The product of its digits is 5184, while the sum is 30.

It can be divided in two parts, 226113 and 311622, that added together give a palindrome (537735).

The spelling of 226113311622 in words is "two hundred twenty-six billion, one hundred thirteen million, three hundred eleven thousand, six hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 66 79 158 237 474 869 1738 2607 3181 5214 6362 9543 13633 19086 27266 34991 40899 69982 81798 104973 149963 209946 251299 299926 449889 502598 753897 899778 1077007 1507794 2154014 2764289 3231021 5528578 6462042 8292867 11847077 16585734 23694154 35541231 43366573 71082462 86733146 130099719 260199438 477032303 954064606 1431096909 2862193818 3425959267 6851918534 10277877801 20555755602 37685551937 75371103874 113056655811 226113311622