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22434110040 = 2335733255049
BaseRepresentation
bin10100111001001011…
…010101101001011000
32010220110201212111110
4110321023111221120
5331421113010130
614150040500320
71422636534426
oct247113255130
963813655443
1022434110040
119572519a11
12442117a6a0
132166a77234
14112b6a4116
158b47cdab0
hex5392d5a58

22434110040 has 64 divisors (see below), whose sum is σ = 67394412000. Its totient is φ = 5974244352.

The previous prime is 22434110033. The next prime is 22434110057. The reversal of 22434110040 is 4001143422.

It is a junction number, because it is equal to n+sod(n) for n = 22434109989 and 22434110016.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39565 + ... + 215484.

Almost surely, 222434110040 is an apocalyptic number.

22434110040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22434110040 is an abundant number, since it is smaller than the sum of its proper divisors (44960301960).

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

22434110040 is a wasteful number, since it uses less digits than its factorization.

22434110040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255796 (or 255792 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 22434110040 its reverse (4001143422), we get a palindrome (26435253462).

The spelling of 22434110040 in words is "twenty-two billion, four hundred thirty-four million, one hundred ten thousand, forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 733 1466 2199 2932 3665 4398 5864 7330 8796 10995 14660 17592 21990 29320 43980 87960 255049 510098 765147 1020196 1275245 1530294 2040392 2550490 3060588 3825735 5100980 6121176 7651470 10201960 15302940 30605880 186950917 373901834 560852751 747803668 934754585 1121705502 1495607336 1869509170 2243411004 2804263755 3739018340 4486822008 5608527510 7478036680 11217055020 22434110040