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22005324 = 22331118523
BaseRepresentation
bin101001111110…
…0011001001100
31112101222122000
41103330121030
521113132244
62103352300
7355020315
oct123743114
945358560
1022005324
111146aa20
127452690
134736103
142ccb60c
151dea169
hex14fc64c

22005324 has 48 divisors (see below), whose sum is σ = 62240640. Its totient is φ = 6667920.

The previous prime is 22005317. The next prime is 22005331. The reversal of 22005324 is 42350022.

It is an interprime number because it is at equal distance from previous prime (22005317) and next prime (22005331).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22005297 and 22005306.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 8074 + ... + 10449.

It is an arithmetic number, because the mean of its divisors is an integer number (1296680).

Almost surely, 222005324 is an apocalyptic number.

It is an amenable number.

22005324 is an abundant number, since it is smaller than the sum of its proper divisors (40235316).

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

22005324 is a wasteful number, since it uses less digits than its factorization.

22005324 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18547 (or 18539 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22005324 is about 4690.9832657983. The cubic root of 22005324 is about 280.2265343597.

Adding to 22005324 its reverse (42350022), we get a palindrome (64355346).

The spelling of 22005324 in words is "twenty-two million, five thousand, three hundred twenty-four".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 18523 37046 55569 74092 111138 166707 203753 222276 333414 407506 500121 611259 666828 815012 1000242 1222518 1833777 2000484 2445036 3667554 5501331 7335108 11002662 22005324