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12022444240 = 245150280553
BaseRepresentation
bin10110011001001011…
…11111000011010000
31011000212100110001121
423030211333003100
5144110221203430
65304550412024
7603633042562
oct131445770320
934025313047
1012022444240
11510a3a1334
1223b6361014
1311979c2641
148209c1332
154a5705a7a
hex2cc97f0d0

12022444240 has 20 divisors (see below), whose sum is σ = 27952183044. Its totient is φ = 4808977664.

The previous prime is 12022444229. The next prime is 12022444243. The reversal of 12022444240 is 4244422021.

12022444240 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 5579492416 + 6442951824 = 74696^2 + 80268^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12022444243) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 75140197 + ... + 75140356.

Almost surely, 212022444240 is an apocalyptic number.

12022444240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12022444240 is an abundant number, since it is smaller than the sum of its proper divisors (15929738804).

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

12022444240 is a wasteful number, since it uses less digits than its factorization.

12022444240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150280566 (or 150280560 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 25.

Adding to 12022444240 its reverse (4244422021), we get a palindrome (16266866261).

It can be divided in two parts, 1202 and 2444240, that added together give a palindrome (2445442).

The spelling of 12022444240 in words is "twelve billion, twenty-two million, four hundred forty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 150280553 300561106 601122212 751402765 1202244424 1502805530 2404488848 3005611060 6011222120 12022444240