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22140648 = 2333102503
BaseRepresentation
bin101010001110…
…1011011101000
31112122212021000
41110131123220
521132000043
62110315000
7356122665
oct124353350
945585230
1022140648
1111552662
1274b8a60
13478289a
142d24a6c
151e252d3
hex151d6e8

22140648 has 32 divisors (see below), whose sum is σ = 61502400. Its totient is φ = 7380144.

The previous prime is 22140641. The next prime is 22140649. The reversal of 22140648 is 84604122.

22140648 is a `hidden beast` number, since 2 + 2 + 14 + 0 + 648 = 666.

It is a super-3 number, since 3×221406483 (a number of 23 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (22140641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 51036 + ... + 51467.

It is an arithmetic number, because the mean of its divisors is an integer number (1921950).

Almost surely, 222140648 is an apocalyptic number.

It is an amenable number.

22140648 is an abundant number, since it is smaller than the sum of its proper divisors (39361752).

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

22140648 is a wasteful number, since it uses less digits than its factorization.

22140648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 102518 (or 102508 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

The square root of 22140648 is about 4705.3850001886. The cubic root of 22140648 is about 280.7997881509.

The spelling of 22140648 in words is "twenty-two million, one hundred forty thousand, six hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 102503 205006 307509 410012 615018 820024 922527 1230036 1845054 2460072 2767581 3690108 5535162 7380216 11070324 22140648