Search a number
-
+
2121222200 = 2352101173607
BaseRepresentation
bin111111001101111…
…0100100000111000
312110211110020211012
41332123310200320
513321013102300
6550253053052
7103365043166
oct17633644070
95424406735
102121222200
119994136a9
124b2487188
1327a60b686
14161a12236
15c635a435
hex7e6f4838

2121222200 has 96 divisors (see below), whose sum is σ = 5017714560. Its totient is φ = 833856000.

The previous prime is 2121222193. The next prime is 2121222227. The reversal of 2121222200 is 22221212.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3494297 + ... + 3494903.

It is an arithmetic number, because the mean of its divisors is an integer number (52267860).

Almost surely, 22121222200 is an apocalyptic number.

2121222200 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 2121222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2508857280).

2121222200 is an abundant number, since it is smaller than the sum of its proper divisors (2896492360).

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

2121222200 is a wasteful number, since it uses less digits than its factorization.

2121222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 888 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 14.

The square root of 2121222200 is about 46056.7280644207. The cubic root of 2121222200 is about 1284.8784777105.

Adding to 2121222200 its reverse (22221212), we get a palindrome (2143443412).

The spelling of 2121222200 in words is "two billion, one hundred twenty-one million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 101 173 200 202 346 404 505 607 692 808 865 1010 1214 1384 1730 2020 2428 2525 3035 3460 4040 4325 4856 5050 6070 6920 8650 10100 12140 15175 17300 17473 20200 24280 30350 34600 34946 60700 61307 69892 87365 105011 121400 122614 139784 174730 210022 245228 306535 349460 420044 436825 490456 525055 613070 698920 840088 873650 1050110 1226140 1532675 1747300 2100220 2452280 2625275 3065350 3494600 4200440 5250550 6130700 10501100 10606111 12261400 21002200 21212222 42424444 53030555 84848888 106061110 212122220 265152775 424244440 530305550 1060611100 2121222200