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22375040 = 27534961
BaseRepresentation
bin101010101011…
…0101010000000
31120002202210012
41111112222000
521212000130
62115324052
7361120232
oct125265200
946082705
1022375040
11116a2776
1275b0628
13483548c
142d86252
151e6e995
hex1556a80

22375040 has 32 divisors (see below), whose sum is σ = 53491860. Its totient is φ = 8949760.

The previous prime is 22375013. The next prime is 22375049. The reversal of 22375040 is 4057322.

It can be written as a sum of positive squares in 2 ways, for example, as 22052416 + 322624 = 4696^2 + 568^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is a zygodrome in base 4.

It is a junction number, because it is equal to n+sod(n) for n = 22374997 and 22375015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22375049) 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, 16841 + ... + 18120.

Almost surely, 222375040 is an apocalyptic number.

22375040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22375040 is an abundant number, since it is smaller than the sum of its proper divisors (31116820).

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

22375040 is an equidigital number, since it uses as much as digits as its factorization.

22375040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34980 (or 34968 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 23.

The square root of 22375040 is about 4730.2262102356. The cubic root of 22375040 is about 281.7872076449.

The spelling of 22375040 in words is "twenty-two million, three hundred seventy-five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 320 640 34961 69922 139844 174805 279688 349610 559376 699220 1118752 1398440 2237504 2796880 4475008 5593760 11187520 22375040