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2211166140 = 2235312275237
BaseRepresentation
bin1000001111001011…
…1011011110111100
312201002200212201020
42003302323132330
514012024304030
61003224544140
7105536413341
oct20362733674
95632625636
102211166140
11a35166937
12518622050
13293140c41
1416d9467c8
15ce1c5510
hex83cbb7bc

2211166140 has 96 divisors (see below), whose sum is σ = 6420363264. Its totient is φ = 568001280.

The previous prime is 2211166123. The next prime is 2211166147. The reversal of 2211166140 is 416611122.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 2211166140.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2211166147) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 419602 + ... + 424838.

It is an arithmetic number, because the mean of its divisors is an integer number (66878784).

Almost surely, 22211166140 is an apocalyptic number.

2211166140 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 2211166140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3210181632).

2211166140 is an abundant number, since it is smaller than the sum of its proper divisors (4209197124).

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

2211166140 is a wasteful number, since it uses less digits than its factorization.

2211166140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5507 (or 5505 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 2211166140 is about 47023.0383960884. The cubic root of 2211166140 is about 1302.7881264486.

Adding to 2211166140 its reverse (416611122), we get a palindrome (2627777262).

The spelling of 2211166140 in words is "two billion, two hundred eleven million, one hundred sixty-six thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 31 60 62 93 124 155 186 227 310 372 454 465 620 681 908 930 1135 1362 1860 2270 2724 3405 4540 5237 6810 7037 10474 13620 14074 15711 20948 21111 26185 28148 31422 35185 42222 52370 62844 70370 78555 84444 104740 105555 140740 157110 162347 211110 314220 324694 422220 487041 649388 811735 974082 1188799 1623470 1948164 2377598 2435205 3246940 3566397 4755196 4870410 5943995 7132794 9740820 11887990 14265588 17831985 23775980 35663970 36852769 71327940 73705538 110558307 147411076 184263845 221116614 368527690 442233228 552791535 737055380 1105583070 2211166140