Search a number
-
+
2220110202200 = 2352112367249973
BaseRepresentation
bin100000010011101000111…
…000010100010101011000
321212020111022000122201012
4200103220320110111120
5242333241202432300
64415523214313052
7316253254232132
oct40235070242530
97766438018635
102220110202200
117865a8370600
122ba3324b8788
13131481034577
147964d742052
153cb3bbda435
hex204e8e14558

2220110202200 has 144 divisors (see below), whose sum is σ = 5689148267040. Its totient is φ = 805109817600.

The previous prime is 2220110202181. The next prime is 2220110202227. The reversal of 2220110202200 is 22020110222.

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, 8756414 + ... + 9006386.

Almost surely, 22220110202200 is an apocalyptic number.

2220110202200 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 2220110202200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2844574133520).

2220110202200 is an abundant number, since it is smaller than the sum of its proper divisors (3469038064840).

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

2220110202200 is a wasteful number, since it uses less digits than its factorization.

2220110202200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 250378 (or 250358 counting only the distinct ones).

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

Adding to 2220110202200 its reverse (22020110222), we get a palindrome (2242130312422).

The spelling of 2220110202200 in words is "two trillion, two hundred twenty billion, one hundred ten million, two hundred two thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 121 200 220 242 275 367 440 484 550 605 734 968 1100 1210 1468 1835 2200 2420 2936 3025 3670 4037 4840 6050 7340 8074 9175 12100 14680 16148 18350 20185 24200 32296 36700 40370 44407 73400 80740 88814 100925 161480 177628 201850 222035 249973 355256 403700 444070 499946 807400 888140 999892 1110175 1249865 1776280 1999784 2220350 2499730 2749703 4440700 4999460 5499406 6249325 8881400 9998920 10998812 12498650 13748515 21997624 24997300 27497030 30246733 49994600 54994060 60493466 68742575 91740091 109988120 120986932 137485150 151233665 183480182 241973864 274970300 302467330 366960364 458700455 549940600 604934660 733920728 756168325 917400910 1009141001 1209869320 1512336650 1834801820 2018282002 2293502275 3024673300 3669603640 4036564004 4587004550 5045705005 6049346600 8073128008 9174009100 10091410010 11100551011 18348018200 20182820020 22201102022 25228525025 40365640040 44402204044 50457050050 55502755055 88804408088 100914100100 111005510110 201828200200 222011020220 277513775275 444022040440 555027550550 1110055101100 2220110202200