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21222022212 = 223215735910459
BaseRepresentation
bin10011110000111011…
…100101110001000100
32000202222222102120200
4103300323211301010
5321430314202322
613425501330500
71350621132606
oct236073456104
960688872520
1021222022212
119000307436
124143266a30
13200290cac1
141054709176
158431a68ac
hex4f0ee5c44

21222022212 has 72 divisors (see below), whose sum is σ = 54141796800. Its totient is φ = 7008700608.

The previous prime is 21222022153. The next prime is 21222022223.

21222022212 is a `hidden beast` number, since 212 + 220 + 22 + 212 = 666.

21222022212 is nontrivially palindromic in base 10.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2023839 + ... + 2034297.

It is an arithmetic number, because the mean of its divisors is an integer number (751969400).

Almost surely, 221222022212 is an apocalyptic number.

It is an amenable number.

21222022212 is an abundant number, since it is smaller than the sum of its proper divisors (32919774588).

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

21222022212 is a wasteful number, since it uses less digits than its factorization.

21222022212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10985 (or 10980 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 18.

It can be divided in two parts, 212220 and 22212, that added together give a palindrome (234432).

The spelling of 21222022212 in words is "twenty-one billion, two hundred twenty-two million, twenty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 36 157 314 359 471 628 718 942 1077 1413 1436 1884 2154 2826 3231 4308 5652 6462 10459 12924 20918 31377 41836 56363 62754 94131 112726 125508 169089 188262 225452 338178 376524 507267 676356 1014534 1642063 2029068 3284126 3754781 4926189 6568252 7509562 9852378 11264343 14778567 15019124 19704756 22528686 29557134 33793029 45057372 59114268 67586058 135172116 589500617 1179001234 1768501851 2358002468 3537003702 5305505553 7074007404 10611011106 21222022212