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22663120 = 245283289
BaseRepresentation
bin101011001110…
…0111111010000
31120122101221211
41112130333100
521300204440
62125425504
7363430144
oct126347720
946571854
1022663120
111187a157
12770b294
13490663c
14301d224
151ec9eea
hex159cfd0

22663120 has 20 divisors (see below), whose sum is σ = 52691940. Its totient is φ = 9065216.

The previous prime is 22663117. The next prime is 22663127. The reversal of 22663120 is 2136622.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 5721664 + 16941456 = 2392^2 + 4116^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a junction number, because it is equal to n+sod(n) for n = 22663091 and 22663100.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22663127) 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, 141565 + ... + 141724.

It is an arithmetic number, because the mean of its divisors is an integer number (2634597).

Almost surely, 222663120 is an apocalyptic number.

22663120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22663120 is an abundant number, since it is smaller than the sum of its proper divisors (30028820).

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

22663120 is a wasteful number, since it uses less digits than its factorization.

22663120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 283302 (or 283296 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 22.

The square root of 22663120 is about 4760.5797966214. The cubic root of 22663120 is about 282.9913968092.

Adding to 22663120 its reverse (2136622), we get a palindrome (24799742).

The spelling of 22663120 in words is "twenty-two million, six hundred sixty-three thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 80 283289 566578 1133156 1416445 2266312 2832890 4532624 5665780 11331560 22663120