Search a number
-
+
22802928 = 243716691
BaseRepresentation
bin101011011111…
…1000111110000
31120220111201220
41112333013300
521314143203
62132425040
7364551561
oct126770760
946814656
1022802928
11119651a5
127778180
134955175
143058168
152006653
hex15bf1f0

22802928 has 40 divisors (see below), whose sum is σ = 59746176. Its totient is φ = 7492800.

The previous prime is 22802873. The next prime is 22802939. The reversal of 22802928 is 82920822.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 63 + ... + 6753.

Almost surely, 222802928 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 22802928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29873088).

22802928 is an abundant number, since it is smaller than the sum of its proper divisors (36943248).

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

22802928 is a wasteful number, since it uses less digits than its factorization.

22802928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6773 (or 6767 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 33.

The square root of 22802928 is about 4775.2411457433. The cubic root of 22802928 is about 283.5721256413.

The spelling of 22802928 in words is "twenty-two million, eight hundred two thousand, nine hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 48 71 142 213 284 426 568 852 1136 1704 3408 6691 13382 20073 26764 40146 53528 80292 107056 160584 321168 475061 950122 1425183 1900244 2850366 3800488 5700732 7600976 11401464 22802928