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214332023400 = 233521132474549
BaseRepresentation
bin1100011110011100101…
…1110010001001101000
3202111020011111220112220
43013213023302021220
512002422444222100
6242243543034040
721325230065535
oct3074713621150
9674204456486
10214332023400
1182996926540
123565743b920
131729965bab1
14a533705d8c
1558967deaa0
hex31e72f2268

214332023400 has 96 divisors (see below), whose sum is σ = 724831956000. Its totient is φ = 51959276800.

The previous prime is 214332023327. The next prime is 214332023401. The reversal of 214332023400 is 4320233412.

214332023400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (214332023401) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16230675 + ... + 16243874.

It is an arithmetic number, because the mean of its divisors is an integer number (7550332875).

Almost surely, 2214332023400 is an apocalyptic number.

214332023400 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214332023400 is an abundant number, since it is smaller than the sum of its proper divisors (510499932600).

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

214332023400 is a wasteful number, since it uses less digits than its factorization.

214332023400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32474579 (or 32474570 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 214332023400 its reverse (4320233412), we get a palindrome (218652256812).

The spelling of 214332023400 in words is "two hundred fourteen billion, three hundred thirty-two million, twenty-three thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 25 30 33 40 44 50 55 60 66 75 88 100 110 120 132 150 165 200 220 264 275 300 330 440 550 600 660 825 1100 1320 1650 2200 3300 6600 32474549 64949098 97423647 129898196 162372745 194847294 259796392 324745490 357220039 389694588 487118235 649490980 714440078 779389176 811863725 974236470 1071660117 1298981960 1428880156 1623727450 1786100195 1948472940 2143320234 2435591175 2857760312 3247454900 3572200390 3896945880 4286640468 4871182350 5358300585 6494909800 7144400780 8573280936 8930500975 9742364700 10716601170 14288801560 17861001950 19484729400 21433202340 26791502925 35722003900 42866404680 53583005850 71444007800 107166011700 214332023400