Search a number
-
+
21220000221 = 372414218363
BaseRepresentation
bin10011110000110011…
…111000000111011101
32000202212011200221010
4103300303320013131
5321424310001341
613425350125433
71350565011600
oct236063700735
960685150833
1021220000221
118aaa156272
124142650879
132002382664
141054340337
15842e07716
hex4f0cf81dd

21220000221 has 48 divisors (see below), whose sum is σ = 33799526208. Its totient is φ = 11800454400.

The previous prime is 21220000201. The next prime is 21220000259. The reversal of 21220000221 is 12200002212.

It is not a de Polignac number, because 21220000221 - 213 = 21219992029 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 21220000197 and 21220000206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (21220000201) 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 47 ways as a sum of consecutive naturals, for example, 2533186 + ... + 2541548.

It is an arithmetic number, because the mean of its divisors is an integer number (704156796).

Almost surely, 221220000221 is an apocalyptic number.

21220000221 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

It is an amenable number.

21220000221 is a deficient number, since it is larger than the sum of its proper divisors (12579525987).

21220000221 is a wasteful number, since it uses less digits than its factorization.

21220000221 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8842 (or 8835 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 21220000221 its reverse (12200002212), we get a palindrome (33420002433).

It can be divided in two parts, 2 and 1220000221, that multiplied together give a palindrome (2440000442).

The spelling of 21220000221 in words is "twenty-one billion, two hundred twenty million, two hundred twenty-one", and thus it is an aban number.

Divisors: 1 3 7 21 41 49 123 147 287 421 861 1263 2009 2947 6027 8363 8841 17261 20629 25089 51783 58541 61887 120827 175623 342883 362481 409787 845789 1028649 1229361 2400181 2537367 3520823 7200543 10562469 16801267 24645761 50403801 73937283 144353743 172520327 433061229 517560981 1010476201 3031428603 7073333407 21220000221