Search a number
-
+
2221332110200 = 235276723681579
BaseRepresentation
bin100000010100110001101…
…101100001101101111000
321212100122110021000101001
4200110301231201231320
5242343242010011300
64420244344134344
7316325452254130
oct40246155415570
97770573230331
102221332110200
11787075080125
122ba6137673b4
13131617229758
1479727b35ac0
153cbae10216a
hex20531b61b78

2221332110200 has 96 divisors (see below), whose sum is σ = 5990492476800. Its totient is φ = 750232391040.

The previous prime is 2221332110167. The next prime is 2221332110209. The reversal of 2221332110200 is 20112331222.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221332110209) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 11746990 + ... + 11934589.

It is an arithmetic number, because the mean of its divisors is an integer number (62400963300).

Almost surely, 22221332110200 is an apocalyptic number.

2221332110200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221332110200 is an abundant number, since it is smaller than the sum of its proper divisors (3769160366600).

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

2221332110200 is a wasteful number, since it uses less digits than its factorization.

2221332110200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23681669 (or 23681660 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 19.

Adding to 2221332110200 its reverse (20112331222), we get a palindrome (2241444441422).

The spelling of 2221332110200 in words is "two trillion, two hundred twenty-one billion, three hundred thirty-two million, one hundred ten thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 67 70 100 134 140 175 200 268 280 335 350 469 536 670 700 938 1340 1400 1675 1876 2345 2680 3350 3752 4690 6700 9380 11725 13400 18760 23450 46900 93800 23681579 47363158 94726316 118407895 165771053 189452632 236815790 331542106 473631580 592039475 663084212 828855265 947263160 1184078950 1326168424 1586665793 1657710530 2368157900 3173331586 3315421060 4144276325 4736315800 6346663172 6630842120 7933328965 8288552650 11106660551 12693326344 15866657930 16577105300 22213321102 31733315860 33154210600 39666644825 44426642204 55533302755 63466631720 79333289650 88853284408 111066605510 158666579300 222133211020 277666513775 317333158600 444266422040 555333027550 1110666055100 2221332110200