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22145800 = 2352110729
BaseRepresentation
bin101010001111…
…0101100001000
31112200010022211
41110132230020
521132131200
62110354504
7356144005
oct124365410
945603284
1022145800
1111556516
1274bba34
134785031
142d268ac
151e26aba
hex151eb08

22145800 has 24 divisors (see below), whose sum is σ = 51489450. Its totient is φ = 8858240.

The previous prime is 22145777. The next prime is 22145807. The reversal of 22145800 is 854122.

It can be written as a sum of positive squares in 3 ways, for example, as 19027044 + 3118756 = 4362^2 + 1766^2 .

It is not an unprimeable number, because it can be changed into a prime (22145807) 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 5 ways as a sum of consecutive naturals, for example, 55165 + ... + 55564.

Almost surely, 222145800 is an apocalyptic number.

22145800 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22145800 is an abundant number, since it is smaller than the sum of its proper divisors (29343650).

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

22145800 is a wasteful number, since it uses less digits than its factorization.

22145800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110745 (or 110736 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 22.

The square root of 22145800 is about 4705.9324262042. The cubic root of 22145800 is about 280.8215666209.

Adding to 22145800 its reverse (854122), we get a palindrome (22999922).

The spelling of 22145800 in words is "twenty-two million, one hundred forty-five thousand, eight hundred".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 200 110729 221458 442916 553645 885832 1107290 2214580 2768225 4429160 5536450 11072900 22145800