Search a number
-
+
202221100212 = 2231743177712973
BaseRepresentation
bin1011110001010101010…
…0010001110010110100
3201022222010200021012020
42330111110101302310
511303122100201322
6232522111553140
720416140663555
oct2742524216264
9638863607166
10202221100212
11788415a270a
123323752b7b0
13160b952a961
149b0509232c
1553d845d05c
hex2f15511cb4

202221100212 has 96 divisors (see below), whose sum is σ = 511550911872. Its totient is φ = 61926875136.

The previous prime is 202221100141. The next prime is 202221100271. The reversal of 202221100212 is 212001122202.

It is a junction number, because it is equal to n+sod(n) for n = 202221100191 and 202221100200.

It is a congruent number.

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, 15581358 + ... + 15594330.

It is an arithmetic number, because the mean of its divisors is an integer number (5328655332).

Almost surely, 2202221100212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 202221100212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255775455936).

202221100212 is an abundant number, since it is smaller than the sum of its proper divisors (309329811660).

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

202221100212 is a wasteful number, since it uses less digits than its factorization.

202221100212 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14817 (or 14815 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

Adding to 202221100212 its reverse (212001122202), we get a palindrome (414222222414).

The spelling of 202221100212 in words is "two hundred two billion, two hundred twenty-one million, one hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 12 17 34 43 51 68 86 102 129 172 204 258 516 731 1462 1777 2193 2924 3554 4386 5331 7108 8772 10662 12973 21324 25946 30209 38919 51892 60418 76411 77838 90627 120836 152822 155676 181254 220541 229233 305644 362508 441082 458466 557839 661623 882164 916932 1115678 1298987 1323246 1673517 2231356 2597974 2646492 3347034 3896961 5195948 6694068 7793922 9483263 15587844 18966526 23053021 28449789 37933052 46106042 56899578 69159063 92212084 113799156 138318126 276636252 391901357 783802714 991279903 1175704071 1567605428 1982559806 2351408142 2973839709 3965119612 4702816284 5947679418 11895358836 16851758351 33703516702 50555275053 67407033404 101110550106 202221100212