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2112147840 = 273511971031
BaseRepresentation
bin111110111100100…
…1101000110000000
312110012101020010210
41331321031012000
513311202212330
6545330354120
7103224650265
oct17571150600
95405336123
102112147840
11994285a30
124ab42b940
1327878222a
1416072d26c
15c56668b0
hex7de4d180

2112147840 has 256 divisors, whose sum is σ = 7427427840. Its totient is φ = 506265600.

The previous prime is 2112147833. The next prime is 2112147889. The reversal of 2112147840 is 487412112.

It is a super-2 number, since 2×21121478402 = 8922336996033331200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 2112147798 and 2112147807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2048125 + ... + 2049155.

It is an arithmetic number, because the mean of its divisors is an integer number (29013390).

Almost surely, 22112147840 is an apocalyptic number.

2112147840 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112147840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3713713920).

2112147840 is an abundant number, since it is smaller than the sum of its proper divisors (5315280000).

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

2112147840 is a wasteful number, since it uses less digits than its factorization.

2112147840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1161 (or 1149 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 30.

The square root of 2112147840 is about 45958.1096216979. The cubic root of 2112147840 is about 1283.0436682869.

Adding to 2112147840 its reverse (487412112), we get a palindrome (2599559952).

The spelling of 2112147840 in words is "two billion, one hundred twelve million, one hundred forty-seven thousand, eight hundred forty".