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226134431622 = 232114127855929
BaseRepresentation
bin1101001010011010101…
…0011001011110000110
3210121200200211100221100
43102212222121132012
512201110403302442
6251515033400530
722223551645131
oct3224652313606
9717620740840
10226134431622
11879a2a9a520
12379abb69146
131842a8a04b8
14ad32dab218
155d37a2e84c
hex34a6a99786

226134431622 has 48 divisors (see below), whose sum is σ = 547536160080. Its totient is φ = 66854227200.

The previous prime is 226134431539. The next prime is 226134431623.

226134431622 is a `hidden beast` number, since 2 + 2 + 613 + 4 + 4 + 3 + 16 + 22 = 666.

226134431622 is nontrivially palindromic in base 10.

226134431622 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 2×2261344316222 (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (226134431623) 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 23 ways as a sum of consecutive naturals, for example, 13919847 + ... + 13936082.

It is an arithmetic number, because the mean of its divisors is an integer number (11407003335).

Almost surely, 2226134431622 is an apocalyptic number.

226134431622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

226134431622 is an abundant number, since it is smaller than the sum of its proper divisors (321401728458).

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

226134431622 is a wasteful number, since it uses less digits than its factorization.

226134431622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27855989 (or 27855986 counting only the distinct ones).

The product of its digits is 82944, while the sum is 36.

It can be divided in two parts, 226134 and 431622, that added together give a palindrome (657756).

The spelling of 226134431622 in words is "two hundred twenty-six billion, one hundred thirty-four million, four hundred thirty-one thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 22 33 41 66 82 99 123 198 246 369 451 738 902 1353 2706 4059 8118 27855929 55711858 83567787 167135574 250703361 306415219 501406722 612830438 919245657 1142093089 1838491314 2284186178 2757736971 3426279267 5515473942 6852558534 10278837801 12563023979 20557675602 25126047958 37689071937 75378143874 113067215811 226134431622