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214320424200 = 23352823143397
BaseRepresentation
bin1100011110011001111…
…1100010010100001000
3202111012100200121102220
43013212133202110020
512002412012033300
6242242450254040
721325026355611
oct3074637422410
9674170617386
10214320424200
1182990323923
1235653587320
131729712a36c
14a531d66c08
15589579cda0
hex31e67e2508

214320424200 has 96 divisors (see below), whose sum is σ = 664489344960. Its totient is φ = 57143852800.

The previous prime is 214320424193. The next prime is 214320424223. The reversal of 214320424200 is 2424023412.

214320424200 is digitally balanced in base 3, 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 an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4916902 + ... + 4960298.

It is an arithmetic number, because the mean of its divisors is an integer number (6921764010).

Almost surely, 2214320424200 is an apocalyptic number.

214320424200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

214320424200 is an abundant number, since it is smaller than the sum of its proper divisors (450168920760).

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

214320424200 is a wasteful number, since it uses less digits than its factorization.

214320424200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 51647 (or 51638 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 214320424200 its reverse (2424023412), we get a palindrome (216744447612).

The spelling of 214320424200 in words is "two hundred fourteen billion, three hundred twenty million, four hundred twenty-four thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 8231 16462 24693 32924 41155 43397 49386 65848 82310 86794 98772 123465 130191 164620 173588 197544 205775 216985 246930 260382 329240 347176 411550 433970 493860 520764 617325 650955 823100 867940 987720 1041528 1084925 1234650 1301910 1646200 1735880 2169850 2469300 2603820 3254775 4339700 4938600 5207640 6509550 8679400 13019100 26038200 357200707 714401414 1071602121 1428802828 1786003535 2143204242 2857605656 3572007070 4286408484 5358010605 7144014140 8572816968 8930017675 10716021210 14288028280 17860035350 21432042420 26790053025 35720070700 42864084840 53580106050 71440141400 107160212100 214320424200