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2112144340 = 225531992589
BaseRepresentation
bin111110111100100…
…1100001111010100
312110012101001100011
41331321030033110
513311202104330
6545330330004
7103224634135
oct17571141724
95405331304
102112144340
11994283339
124ab429904
13278780767
1416072bc8c
15c566582a
hex7de4c3d4

2112144340 has 24 divisors (see below), whose sum is σ = 4519194120. Its totient is φ = 828916608.

The previous prime is 2112144319. The next prime is 2112144341. The reversal of 2112144340 is 434412112.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1047557956 + 1064586384 = 32366^2 + 32628^2 .

It is a super-2 number, since 2×21121443402 = 8922307425988071200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2112144341) 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, 995235 + ... + 997354.

It is an arithmetic number, because the mean of its divisors is an integer number (188299755).

Almost surely, 22112144340 is an apocalyptic number.

2112144340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2112144340 is an abundant number, since it is smaller than the sum of its proper divisors (2407049780).

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

2112144340 is a wasteful number, since it uses less digits than its factorization.

2112144340 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1992651 (or 1992649 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 2112144340 is about 45958.0715435276. The cubic root of 2112144340 is about 1283.0429595841.

Adding to 2112144340 its reverse (434412112), we get a palindrome (2546556452).

The spelling of 2112144340 in words is "two billion, one hundred twelve million, one hundred forty-four thousand, three hundred forty".

Divisors: 1 2 4 5 10 20 53 106 212 265 530 1060 1992589 3985178 7970356 9962945 19925890 39851780 105607217 211214434 422428868 528036085 1056072170 2112144340