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2013222200 = 2352112233617
BaseRepresentation
bin111011111111111…
…0101010100111000
312012022020021200012
41313333311110320
513110341102300
6531434201052
7100614051323
oct16777652470
95168207605
102013222200
11943458700
12482283188
13261126752
1415153b7ba
15bbb25435
hex77ff5538

2013222200 has 144 divisors (see below), whose sum is σ = 5370125040. Its totient is φ = 700057600.

The previous prime is 2013222199. The next prime is 2013222247. The reversal of 2013222200 is 22223102.

2013222200 is digitally balanced in base 6, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 554792 + ... + 558408.

It is an arithmetic number, because the mean of its divisors is an integer number (37292535).

Almost surely, 22013222200 is an apocalyptic number.

2013222200 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 2013222200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2685062520).

2013222200 is an abundant number, since it is smaller than the sum of its proper divisors (3356902840).

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

2013222200 is a wasteful number, since it uses less digits than its factorization.

2013222200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3678 (or 3658 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 2013222200 is about 44868.9447168083. The cubic root of 2013222200 is about 1262.6914417397.

Adding to 2013222200 its reverse (22223102), we get a palindrome (2035445302).

The spelling of 2013222200 in words is "two billion, thirteen million, two hundred twenty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 23 25 40 44 46 50 55 88 92 100 110 115 121 184 200 220 230 242 253 275 440 460 484 506 550 575 605 920 968 1012 1100 1150 1210 1265 2024 2200 2300 2420 2530 2783 3025 3617 4600 4840 5060 5566 6050 6325 7234 10120 11132 12100 12650 13915 14468 18085 22264 24200 25300 27830 28936 36170 39787 50600 55660 69575 72340 79574 83191 90425 111320 139150 144680 159148 166382 180850 198935 278300 318296 332764 361700 397870 415955 437657 556600 665528 723400 795740 831910 875314 915101 994675 1591480 1663820 1750628 1830202 1989350 2079775 2188285 3327640 3501256 3660404 3978700 4159550 4376570 4575505 7320808 7957400 8319100 8753140 9151010 10066111 10941425 16638200 17506280 18302020 20132222 21882850 22877525 36604040 40264444 43765700 45755050 50330555 80528888 87531400 91510100 100661110 183020200 201322220 251652775 402644440 503305550 1006611100 2013222200