Search a number
-
+
22132420134324 = 22319711367211523
BaseRepresentation
bin1010000100001000110110…
…00010100100010110110100
32220100211122102011011102020
411002010123002210112310
510400104144023244244
6115023254330113140
74443005001056343
oct502043302442664
986324572134366
1022132420134324
1170633411a1765
1225954b287b7b0
13c47102c37b76
14567301797b5a
15285aad3c8d19
hex14211b0a45b4

22132420134324 has 48 divisors (see below), whose sum is σ = 55125968647680. Its totient is φ = 6890746070880.

The previous prime is 22132420134323. The next prime is 22132420134347. The reversal of 22132420134324 is 42343102423122.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22132420134323) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 683589574 + ... + 683621949.

It is an arithmetic number, because the mean of its divisors is an integer number (1148457680160).

Almost surely, 222132420134324 is an apocalyptic number.

It is an amenable number.

22132420134324 is an abundant number, since it is smaller than the sum of its proper divisors (32993548513356).

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

22132420134324 is a wasteful number, since it uses less digits than its factorization.

22132420134324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1367211620 (or 1367211618 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 33.

Adding to 22132420134324 its reverse (42343102423122), we get a palindrome (64475522557446).

The spelling of 22132420134324 in words is "twenty-two trillion, one hundred thirty-two billion, four hundred twenty million, one hundred thirty-four thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 12 19 38 57 71 76 114 142 213 228 284 426 852 1349 2698 4047 5396 8094 16188 1367211523 2734423046 4101634569 5468846092 8203269138 16406538276 25977018937 51954037874 77931056811 97072018133 103908075748 155862113622 194144036266 291216054399 311724227244 388288072532 582432108798 1164864217596 1844368344527 3688736689054 5533105033581 7377473378108 11066210067162 22132420134324