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2221212120 = 2335233721751
BaseRepresentation
bin1000010001100101…
…0000000111011000
312201210121021012120
42010121100013120
514022112241440
61004224141240
7106020664041
oct20431200730
95653537176
102221212120
11a3a8a85a6
1251ba67820
1329524a6ca
14170ddd8c8
15d000bdd0
hex846501d8

2221212120 has 128 divisors (see below), whose sum is σ = 7141616640. Its totient is φ = 551232000.

The previous prime is 2221212113. The next prime is 2221212121. The reversal of 2221212120 is 212121222.

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 2221212120.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221212121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 91245 + ... + 112995.

It is an arithmetic number, because the mean of its divisors is an integer number (55793880).

Almost surely, 22221212120 is an apocalyptic number.

2221212120 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 2221212120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3570808320).

2221212120 is an abundant number, since it is smaller than the sum of its proper divisors (4920404520).

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

2221212120 is a wasteful number, since it uses less digits than its factorization.

2221212120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21825 (or 21821 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 2221212120 is about 47129.7371093877. The cubic root of 2221212120 is about 1304.7581295991.

Adding to 2221212120 its reverse (212121222), we get a palindrome (2433333342).

It can be divided in two parts, 2 and 221212120, that added together give a palindrome (221212122).

The spelling of 2221212120 in words is "two billion, two hundred twenty-one million, two hundred twelve thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 37 40 46 60 69 74 92 111 115 120 138 148 184 185 222 230 276 296 345 370 444 460 552 555 690 740 851 888 920 1110 1380 1480 1702 2220 2553 2760 3404 4255 4440 5106 6808 8510 10212 12765 17020 20424 21751 25530 34040 43502 51060 65253 87004 102120 108755 130506 174008 217510 261012 326265 435020 500273 522024 652530 804787 870040 1000546 1305060 1500819 1609574 2001092 2414361 2501365 2610120 3001638 3219148 4002184 4023935 4828722 5002730 6003276 6438296 7504095 8047870 9657444 10005460 12006552 12071805 15008190 16095740 18510101 19314888 20010920 24143610 30016380 32191480 37020202 48287220 55530303 60032760 74040404 92550505 96574440 111060606 148080808 185101010 222121212 277651515 370202020 444242424 555303030 740404040 1110606060 2221212120