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200214320 = 24571101349
BaseRepresentation
bin10111110111100…
…00011100110000
3111221201221102012
423323300130300
5402223324240
631511142052
74650536135
oct1373603460
9457657365
10200214320
11a3019a89
1257074928
1332630a17
141c83a58c
151289cb65
hexbef0730

200214320 has 80 divisors (see below), whose sum is σ = 478094400. Its totient is φ = 77952000.

The previous prime is 200214283. The next prime is 200214331. The reversal of 200214320 is 23412002.

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

It is a junction number, because it is equal to n+sod(n) for n = 200214295 and 200214304.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 573506 + ... + 573854.

It is an arithmetic number, because the mean of its divisors is an integer number (5976180).

Almost surely, 2200214320 is an apocalyptic number.

200214320 is a gapful number since it is divisible by the number (20) 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 200214320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239047200).

200214320 is an abundant number, since it is smaller than the sum of its proper divisors (277880080).

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

200214320 is a wasteful number, since it uses less digits than its factorization.

200214320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 528 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 200214320 is about 14149.7109511113. The cubic root of 200214320 is about 585.0123648980.

Adding to 200214320 its reverse (23412002), we get a palindrome (223626322).

The spelling of 200214320 in words is "two hundred million, two hundred fourteen thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 71 80 101 142 202 284 349 355 404 505 568 698 710 808 1010 1136 1396 1420 1616 1745 2020 2792 2840 3490 4040 5584 5680 6980 7171 8080 13960 14342 24779 27920 28684 35249 35855 49558 57368 70498 71710 99116 114736 123895 140996 143420 176245 198232 247790 281992 286840 352490 396464 495580 563984 573680 704980 991160 1409960 1982320 2502679 2819920 5005358 10010716 12513395 20021432 25026790 40042864 50053580 100107160 200214320