Search a number
-
+
202022212122220 = 225717944318197609
BaseRepresentation
bin101101111011110011110110…
…001100001011011001101100
3222111022010122022111121222211
4231323303312030023121230
5202434412442300402340
61553355420101220204
760360423513614440
oct5573636614133154
9874263568447884
10202022212122220
1159409159042336
121a7a9312101664
1388957c75b5029
1437c5cda4b0820
1518550dc0eb5ea
hexb7bcf630b66c

202022212122220 has 96 divisors (see below), whose sum is σ = 488662605043200. Its totient is φ = 68722320336384.

The previous prime is 202022212122209. The next prime is 202022212122253. The reversal of 202022212122220 is 22221212220202.

It is a junction number, because it is equal to n+sod(n) for n = 202022212122191 and 202022212122200.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2002776 + ... + 20200384.

It is an arithmetic number, because the mean of its divisors is an integer number (5090235469200).

Almost surely, 2202022212122220 is an apocalyptic number.

202022212122220 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 202022212122220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244331302521600).

202022212122220 is an abundant number, since it is smaller than the sum of its proper divisors (286640392920980).

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

202022212122220 is a wasteful number, since it uses less digits than its factorization.

202022212122220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18198247 (or 18198245 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 202022212122220 its reverse (22221212220202), we get a palindrome (224243424342422).

The spelling of 202022212122220 in words is "two hundred two trillion, twenty-two billion, two hundred twelve million, one hundred twenty-two thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 70 140 179 358 443 716 886 895 1253 1772 1790 2215 2506 3101 3580 4430 5012 6202 6265 8860 12404 12530 15505 25060 31010 62020 79297 158594 317188 396485 555079 792970 1110158 1585940 2220316 2775395 5550790 11101580 18197609 36395218 72790436 90988045 127383263 181976090 254766526 363952180 509533052 636916315 1273832630 2547665260 3257372011 6514744022 8061540787 13029488044 16123081574 16286860055 22801604077 32246163148 32573720110 40307703935 45603208154 56430785509 65147440220 80615407870 91206416308 112861571018 114008020385 161230815740 225723142036 228016040770 282153927545 456032081540 564307855090 1128615710180 1443015800873 2886031601746 5772063203492 7215079004365 10101110606111 14430158008730 20202221212222 28860316017460 40404442424444 50505553030555 101011106061110 202022212122220