Search a number
-
+
22022233132212 = 2233347587635637
BaseRepresentation
bin1010000000111011100110…
…11000100000110010110100
32212222022020021212111101000
411000131303120200302310
510341303013140212322
6114500512500203300
74432024316025255
oct500356330406264
985868207774330
1022022233132212
117020638537155
122578081399530
13c398c2a84c31
14561c4b816b2c
15282caeb933ac
hex140773620cb4

22022233132212 has 48 divisors (see below), whose sum is σ = 57259216566720. Its totient is φ = 7319589482016.

The previous prime is 22022233132201. The next prime is 22022233132217. The reversal of 22022233132212 is 21223133222022.

22022233132212 is a `hidden beast` number, since 2 + 2 + 0 + 2 + 2 + 2 + 331 + 322 + 1 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22022233132217) 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, 293780343 + ... + 293855294.

It is an arithmetic number, because the mean of its divisors is an integer number (1192900345140).

Almost surely, 222022233132212 is an apocalyptic number.

It is an amenable number.

22022233132212 is an abundant number, since it is smaller than the sum of its proper divisors (35236983434508).

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

22022233132212 is a wasteful number, since it uses less digits than its factorization.

22022233132212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 587635997 (or 587635989 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 27.

Adding to 22022233132212 its reverse (21223133222022), we get a palindrome (43245366354234).

The spelling of 22022233132212 in words is "twenty-two trillion, twenty-two billion, two hundred thirty-three million, one hundred thirty-two thousand, two hundred twelve".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 108 347 694 1041 1388 2082 3123 4164 6246 9369 12492 18738 37476 587635637 1175271274 1762906911 2350542548 3525813822 5288720733 7051627644 10577441466 15866162199 21154882932 31732324398 63464648796 203909566039 407819132078 611728698117 815638264156 1223457396234 1835186094351 2446914792468 3670372188702 5505558283053 7340744377404 11011116566106 22022233132212