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12223440 = 243355659
BaseRepresentation
bin101110101000…
…001111010000
3212000000102000
4232220033100
511112122230
61113554000
7205616565
oct56501720
925000360
1012223440
116999719
124115900
1326bc908
1418a286c
151116b60
hexba83d0

12223440 has 80 divisors (see below), whose sum is σ = 42110400. Its totient is φ = 3259008.

The previous prime is 12223439. The next prime is 12223447. The reversal of 12223440 is 4432221.

12223440 is a `hidden beast` number, since 1 + 2 + 223 + 440 = 666.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12223447) 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 15 ways as a sum of consecutive naturals, for example, 670 + ... + 4989.

It is an arithmetic number, because the mean of its divisors is an integer number (526380).

Almost surely, 212223440 is an apocalyptic number.

12223440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21055200).

12223440 is an abundant number, since it is smaller than the sum of its proper divisors (29886960).

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

12223440 is a wasteful number, since it uses less digits than its factorization.

12223440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5681 (or 5669 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 12223440 is about 3496.2036553954. The cubic root of 12223440 is about 230.3550910734.

Adding to 12223440 its reverse (4432221), we get a palindrome (16655661).

The spelling of 12223440 in words is "twelve million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 270 360 432 540 720 1080 2160 5659 11318 16977 22636 28295 33954 45272 50931 56590 67908 84885 90544 101862 113180 135816 152793 169770 203724 226360 254655 271632 305586 339540 407448 452720 509310 611172 679080 763965 814896 1018620 1222344 1358160 1527930 2037240 2444688 3055860 4074480 6111720 12223440