Search a number
-
+
22268080 = 245377523
BaseRepresentation
bin101010011110…
…0100010110000
31112220100001201
41110330202300
521200034310
62113140544
7360163342
oct124744260
945810051
1022268080
111162a37a
12755a754
1347c88a3
142d59292
151e4ce3a
hex153c8b0

22268080 has 40 divisors (see below), whose sum is σ = 53179632. Its totient is φ = 8665344.

The previous prime is 22268069. The next prime is 22268087. The reversal of 22268080 is 8086222.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (40).

It is not an unprimeable number, because it can be changed into a prime (22268087) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 802 + ... + 6721.

Almost surely, 222268080 is an apocalyptic number.

22268080 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22268080 is an abundant number, since it is smaller than the sum of its proper divisors (30911552).

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

22268080 is a wasteful number, since it uses less digits than its factorization.

22268080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7573 (or 7567 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 28.

The square root of 22268080 is about 4718.9066530289. The cubic root of 22268080 is about 281.3374786319.

The spelling of 22268080 in words is "twenty-two million, two hundred sixty-eight thousand, eighty".

Divisors: 1 2 4 5 8 10 16 20 37 40 74 80 148 185 296 370 592 740 1480 2960 7523 15046 30092 37615 60184 75230 120368 150460 278351 300920 556702 601840 1113404 1391755 2226808 2783510 4453616 5567020 11134040 22268080