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2112213210 = 235313736089
BaseRepresentation
bin111110111100101…
…1101000011011010
312110012111112210220
41331321131003122
513311211310320
6545332020510
7103225342002
oct17571350332
95405445726
102112213210
11994320058
124ab461736
132787a5c03
14160749002
15c567ae40
hex7de5d0da

2112213210 has 64 divisors (see below), whose sum is σ = 5247728640. Its totient is φ = 543536640.

The previous prime is 2112213203. The next prime is 2112213247. The reversal of 2112213210 is 123122112.

It is a super-2 number, since 2×21122132102 = 8922889288997008200, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 2112213210.

It is an unprimeable number.

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, 343846 + ... + 349934.

It is an arithmetic number, because the mean of its divisors is an integer number (81995760).

Almost surely, 22112213210 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2112213210, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2623864320).

2112213210 is an abundant number, since it is smaller than the sum of its proper divisors (3135515430).

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

2112213210 is a wasteful number, since it uses less digits than its factorization.

2112213210 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6503.

The product of its (nonzero) digits is 48, while the sum is 15.

The square root of 2112213210 is about 45958.8208073271. The cubic root of 2112213210 is about 1283.0569046866.

Adding to 2112213210 its reverse (123122112), we get a palindrome (2235335322).

The spelling of 2112213210 in words is "two billion, one hundred twelve million, two hundred thirteen thousand, two hundred ten".

Divisors: 1 2 3 5 6 10 15 30 31 62 93 155 186 310 373 465 746 930 1119 1865 2238 3730 5595 6089 11190 11563 12178 18267 23126 30445 34689 36534 57815 60890 69378 91335 115630 173445 182670 188759 346890 377518 566277 943795 1132554 1887590 2271197 2831385 4542394 5662770 6813591 11355985 13627182 22711970 34067955 68135910 70407107 140814214 211221321 352035535 422442642 704071070 1056106605 2112213210