Search a number
-
+
19822912 = 261132741
BaseRepresentation
bin100101110011…
…1100101000000
31101022002220221
41023213211000
520033313122
61544512424
7330330514
oct113474500
941262827
1019822912
111020a27a
12677b714
134150945
1428c0144
151b186c7
hex12e7940

19822912 has 28 divisors (see below), whose sum is σ = 39698676. Its totient is φ = 9820160.

The previous prime is 19822897. The next prime is 19822949. The reversal of 19822912 is 21922891.

It can be written as a sum of positive squares in 2 ways, for example, as 2383936 + 17438976 = 1544^2 + 4176^2 .

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5862 + ... + 8602.

Almost surely, 219822912 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 19822912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19849338).

19822912 is an abundant number, since it is smaller than the sum of its proper divisors (19875764).

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

19822912 is a wasteful number, since it uses less digits than its factorization.

19822912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2866 (or 2856 counting only the distinct ones).

The product of its digits is 5184, while the sum is 34.

The square root of 19822912 is about 4452.2928924319. The cubic root of 19822912 is about 270.6382340759.

The spelling of 19822912 in words is "nineteen million, eight hundred twenty-two thousand, nine hundred twelve".

Divisors: 1 2 4 8 16 32 64 113 226 452 904 1808 2741 3616 5482 7232 10964 21928 43856 87712 175424 309733 619466 1238932 2477864 4955728 9911456 19822912