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22145680 = 245276821
BaseRepresentation
bin101010001111…
…0101010010000
31112200010011101
41110132222100
521132130210
62110354144
7356143444
oct124365220
945603141
1022145680
1111556417
1274bb954
134784c6b
142d26824
151e26a3a
hex151ea90

22145680 has 20 divisors (see below), whose sum is σ = 51488892. Its totient is φ = 8858240.

The previous prime is 22145663. The next prime is 22145723. The reversal of 22145680 is 8654122.

It can be written as a sum of positive squares in 2 ways, for example, as 5531904 + 16613776 = 2352^2 + 4076^2 .

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

It is a super-2 number, since 2×221456802 = 980862285324800, which contains 22 as substring.

It is an unprimeable number.

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 3 ways as a sum of consecutive naturals, for example, 138331 + ... + 138490.

Almost surely, 222145680 is an apocalyptic number.

22145680 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22145680 is an abundant number, since it is smaller than the sum of its proper divisors (29343212).

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

22145680 is a wasteful number, since it uses less digits than its factorization.

22145680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 276834 (or 276828 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 28.

The square root of 22145680 is about 4705.9196763226. The cubic root of 22145680 is about 280.8210593968.

The spelling of 22145680 in words is "twenty-two million, one hundred forty-five thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 80 276821 553642 1107284 1384105 2214568 2768210 4429136 5536420 11072840 22145680