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2140422120 = 2332522212677
BaseRepresentation
bin111111110010100…
…0011111111101000
312112011120201011100
41333211003333220
513340422001440
6552220401400
7104020200504
oct17745037750
95464521140
102140422120
119a9237901
124b89a6260
132815a1885
141643ad304
15c7d9e230
hex7f943fe8

2140422120 has 96 divisors (see below), whose sum is σ = 6962103720. Its totient is φ = 570309120.

The previous prime is 2140422083. The next prime is 2140422127. The reversal of 2140422120 is 212240412.

2140422120 is a `hidden beast` number, since 21 + 404 + 221 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1258688484 + 881733636 = 35478^2 + 29694^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 2140422093 and 2140422102.

It is not an unprimeable number, because it can be changed into a prime (2140422127) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 798222 + ... + 800898.

Almost surely, 22140422120 is an apocalyptic number.

2140422120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2140422120 is an abundant number, since it is smaller than the sum of its proper divisors (4821681600).

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

2140422120 is a wasteful number, since it uses less digits than its factorization.

2140422120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4915 (or 4908 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

The square root of 2140422120 is about 46264.6962596752. The cubic root of 2140422120 is about 1288.7434672876.

Adding to 2140422120 its reverse (212240412), we get a palindrome (2352662532).

The spelling of 2140422120 in words is "two billion, one hundred forty million, four hundred twenty-two thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 30 36 40 45 60 72 90 120 180 360 2221 2677 4442 5354 6663 8031 8884 10708 11105 13326 13385 16062 17768 19989 21416 22210 24093 26652 26770 32124 33315 39978 40155 44420 48186 53304 53540 64248 66630 79956 80310 88840 96372 99945 107080 120465 133260 159912 160620 192744 199890 240930 266520 321240 399780 481860 799560 963720 5945617 11891234 17836851 23782468 29728085 35673702 47564936 53510553 59456170 71347404 89184255 107021106 118912340 142694808 178368510 214042212 237824680 267552765 356737020 428084424 535105530 713474040 1070211060 2140422120