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22668320 = 255141677
BaseRepresentation
bin101011001111…
…0010000100000
31120122200002102
41112132100200
521300341240
62125505532
7363451253
oct126362040
946580072
1022668320
1111883054
1277122a8
134908b0c
14302109a
151ecb815
hex159e420

22668320 has 24 divisors (see below), whose sum is σ = 53554284. Its totient is φ = 9067264.

The previous prime is 22668313. The next prime is 22668323. The reversal of 22668320 is 2386622.

It can be written as a sum of positive squares in 2 ways, for example, as 20394256 + 2274064 = 4516^2 + 1508^2 .

It is not an unprimeable number, because it can be changed into a prime (22668323) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 70679 + ... + 70998.

Almost surely, 222668320 is an apocalyptic number.

22668320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22668320 is an abundant number, since it is smaller than the sum of its proper divisors (30885964).

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

22668320 is a wasteful number, since it uses less digits than its factorization.

22668320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141692 (or 141684 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 29.

The square root of 22668320 is about 4761.1259172595. The cubic root of 22668320 is about 283.0130390593.

The spelling of 22668320 in words is "twenty-two million, six hundred sixty-eight thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 141677 283354 566708 708385 1133416 1416770 2266832 2833540 4533664 5667080 11334160 22668320