Search a number
-
+
22814208 = 29324951
BaseRepresentation
bin101011100000…
…1111000000000
31120221002012200
41113001320000
521320023313
62132553200
7364626504
oct127017000
946832180
1022814208
111197271a
127782800
13495a341
14305c304
152009b73
hex15c1e00

22814208 has 60 divisors (see below), whose sum is σ = 65856648. Its totient is φ = 7603200.

The previous prime is 22814203. The next prime is 22814251. The reversal of 22814208 is 80241822.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22814201) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2133 + ... + 7083.

Almost surely, 222814208 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 22814208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32928324).

22814208 is an abundant number, since it is smaller than the sum of its proper divisors (43042440).

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

22814208 is an equidigital number, since it uses as much as digits as its factorization.

22814208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4975 (or 4956 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 27.

The square root of 22814208 is about 4776.4220919010. The cubic root of 22814208 is about 283.6188764546.

The spelling of 22814208 in words is "twenty-two million, eight hundred fourteen thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1152 1536 2304 4608 4951 9902 14853 19804 29706 39608 44559 59412 79216 89118 118824 158432 178236 237648 316864 356472 475296 633728 712944 950592 1267456 1425888 1901184 2534912 2851776 3802368 5703552 7604736 11407104 22814208