Search a number
-
+
202221212020 = 225173106954673
BaseRepresentation
bin1011110001010101010…
…0101101000101110100
3201022222010212221120021
42330111110231011310
511303122112241040
6232522114214524
720416141640542
oct2742524550564
9638863787507
10202221212020
1178841669713
1233237584444
13160b9569809
149b050c0d92
1553d848124a
hex2f1552d174

202221212020 has 48 divisors (see below), whose sum is σ = 427526623440. Its totient is φ = 80344221696.

The previous prime is 202221211979. The next prime is 202221212023. The reversal of 202221212020 is 20212122202.

202221212020 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 595067236 + 201626144784 = 24394^2 + 449028^2 .

It is a junction number, because it is equal to n+sod(n) for n = 202221211985 and 202221212003.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (202221212023) 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 15 ways as a sum of consecutive naturals, for example, 3671404 + ... + 3726076.

It is an arithmetic number, because the mean of its divisors is an integer number (8906804655).

Almost surely, 2202221212020 is an apocalyptic number.

202221212020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

202221212020 is an abundant number, since it is smaller than the sum of its proper divisors (225305411420).

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

202221212020 is a wasteful number, since it uses less digits than its factorization.

202221212020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55924 (or 55922 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 202221212020 its reverse (20212122202), we get a palindrome (222433334222).

The spelling of 202221212020 in words is "two hundred two billion, two hundred twenty-one million, two hundred twelve thousand, twenty".

Divisors: 1 2 4 5 10 20 173 346 692 865 1069 1730 2138 3460 4276 5345 10690 21380 54673 109346 184937 218692 273365 369874 546730 739748 924685 1093460 1849370 3698740 9458429 18916858 37833716 47292145 58445437 94584290 116890874 189168580 233781748 292227185 584454370 1168908740 10111060601 20222121202 40444242404 50555303005 101110606010 202221212020