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2210012112 = 243731112203
BaseRepresentation
bin1000001110111010…
…0001101111010000
312201000112020200110
42003232201233100
514011230341422
61003144121320
7105523536000
oct20356415720
95630466613
102210012112
11a345488a0
12518166240
13292b28899
1416d726000
15ce04860c
hex83ba1bd0

2210012112 has 160 divisors (see below), whose sum is σ = 7263820800. Its totient is φ = 573982080.

The previous prime is 2210012107. The next prime is 2210012141. The reversal of 2210012112 is 2112100122.

It is a Harshad number since it is a multiple of its sum of digits (12).

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, 175003 + ... + 187205.

It is an arithmetic number, because the mean of its divisors is an integer number (45398880).

Almost surely, 22210012112 is an apocalyptic number.

2210012112 is a gapful number since it is divisible by the number (22) 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 2210012112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3631910400).

2210012112 is an abundant number, since it is smaller than the sum of its proper divisors (5053808688).

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

2210012112 is a wasteful number, since it uses less digits than its factorization.

2210012112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12246 (or 12226 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 12.

The square root of 2210012112 is about 47010.7659159048. The cubic root of 2210012112 is about 1302.5614412952.

Adding to 2210012112 its reverse (2112100122), we get a palindrome (4322112234).

The spelling of 2210012112 in words is "two billion, two hundred ten million, twelve thousand, one hundred twelve".

Divisors: 1 2 3 4 6 7 8 11 12 14 16 21 22 24 28 33 42 44 48 49 56 66 77 84 88 98 112 132 147 154 168 176 196 231 264 294 308 336 343 392 462 528 539 588 616 686 784 924 1029 1078 1176 1232 1372 1617 1848 2058 2156 2352 2744 3234 3696 3773 4116 4312 5488 6468 7546 8232 8624 11319 12203 12936 15092 16464 22638 24406 25872 30184 36609 45276 48812 60368 73218 85421 90552 97624 134233 146436 170842 181104 195248 256263 268466 292872 341684 402699 512526 536932 585744 597947 683368 805398 939631 1025052 1073864 1195894 1366736 1610796 1793841 1879262 2050104 2147728 2391788 2818893 3221592 3587682 3758524 4100208 4185629 4783576 5637786 6443184 6577417 7175364 7517048 8371258 9567152 11275572 12556887 13154834 14350728 15034096 16742516 19732251 22551144 25113774 26309668 28701456 33485032 39464502 45102288 46041919 50227548 52619336 66970064 78929004 92083838 100455096 105238672 138125757 157858008 184167676 200910192 276251514 315716016 368335352 552503028 736670704 1105006056 2210012112