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2166047240 = 235773105971
BaseRepresentation
bin1000000100011011…
…0100001000001000
312120221210121012212
42001012310020020
513414002002430
6554533524252
7104451045350
oct20106641010
95527717185
102166047240
11a1174a395
125054a3688
132869a4476
1416795db60
15ca261b95
hex811b4208

2166047240 has 64 divisors (see below), whose sum is σ = 5646188160. Its totient is φ = 732464640.

The previous prime is 2166047189. The next prime is 2166047243. The reversal of 2166047240 is 427406612.

It is a junction number, because it is equal to n+sod(n) for n = 2166047197 and 2166047206.

It is not an unprimeable number, because it can be changed into a prime (2166047243) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 32546 + ... + 73425.

It is an arithmetic number, because the mean of its divisors is an integer number (88221690).

Almost surely, 22166047240 is an apocalyptic number.

2166047240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2166047240 is an abundant number, since it is smaller than the sum of its proper divisors (3480140920).

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

2166047240 is a wasteful number, since it uses less digits than its factorization.

2166047240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 106062 (or 106058 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 32.

The square root of 2166047240 is about 46540.8126271985. The cubic root of 2166047240 is about 1293.8660218167.

The spelling of 2166047240 in words is "two billion, one hundred sixty-six million, forty-seven thousand, two hundred forty".

Divisors: 1 2 4 5 7 8 10 14 20 28 35 40 56 70 73 140 146 280 292 365 511 584 730 1022 1460 2044 2555 2920 4088 5110 10220 20440 105971 211942 423884 529855 741797 847768 1059710 1483594 2119420 2967188 3708985 4238840 5934376 7417970 7735883 14835940 15471766 29671880 30943532 38679415 54151181 61887064 77358830 108302362 154717660 216604724 270755905 309435320 433209448 541511810 1083023620 2166047240