Search a number
-
+
202221101220 = 223561148137307
BaseRepresentation
bin1011110001010101010…
…0010010000010100100
3201022222010200022120120
42330111110102002210
511303122100214340
6232522112001540
720416140666525
oct2742524220244
9638863608516
10202221101220
11788415a3446
12332375302b0
13160b952b258
149b0509284c
1553d845d4d0
hex2f155120a4

202221101220 has 96 divisors (see below), whose sum is σ = 575905389696. Its totient is φ = 53004364800.

The previous prime is 202221101219. The next prime is 202221101227. The reversal of 202221101220 is 22101122202.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 202221101220.

It is not an unprimeable number, because it can be changed into a prime (202221101227) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5401807 + ... + 5439113.

It is an arithmetic number, because the mean of its divisors is an integer number (5999014476).

Almost surely, 2202221101220 is an apocalyptic number.

202221101220 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 202221101220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287952694848).

202221101220 is an abundant number, since it is smaller than the sum of its proper divisors (373684288476).

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

202221101220 is a wasteful number, since it uses less digits than its factorization.

202221101220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 38861 (or 38859 counting only the distinct ones).

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

Adding to 202221101220 its reverse (22101122202), we get a palindrome (224322223422).

The spelling of 202221101220 in words is "two hundred two billion, two hundred twenty-one million, one hundred one thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 61 122 183 244 305 366 610 732 915 1220 1481 1830 2962 3660 4443 5924 7405 8886 14810 17772 22215 29620 37307 44430 74614 88860 90341 111921 149228 180682 186535 223842 271023 361364 373070 447684 451705 542046 559605 746140 903410 1084092 1119210 1355115 1806820 2238420 2275727 2710230 4551454 5420460 6827181 9102908 11378635 13654362 22757270 27308724 34135905 45514540 55251667 68271810 110503334 136543620 165755001 221006668 276258335 331510002 552516670 663020004 828775005 1105033340 1657550010 3315100020 3370351687 6740703374 10111055061 13481406748 16851758435 20222110122 33703516870 40444220244 50555275305 67407033740 101110550610 202221101220