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201430200 = 23352973461
BaseRepresentation
bin11000000000110…
…01010010111000
3112001000201021210
430000121102320
5403031231300
631553203120
74664062026
oct1400312270
9461021253
10201430200
11a377a544
12575604a0
133296828a
141ca75716
1512a3d050
hexc0194b8

201430200 has 96 divisors (see below), whose sum is σ = 631053360. Its totient is φ = 53145600.

The previous prime is 201430193. The next prime is 201430213. The reversal of 201430200 is 2034102.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

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, 56470 + ... + 59930.

Almost surely, 2201430200 is an apocalyptic number.

201430200 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 201430200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315526680).

201430200 is an abundant number, since it is smaller than the sum of its proper divisors (429623160).

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

201430200 is a wasteful number, since it uses less digits than its factorization.

201430200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3577 (or 3568 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 201430200 is about 14192.6107534872. The cubic root of 201430200 is about 586.1942147278.

Adding to 201430200 its reverse (2034102), we get a palindrome (203464302).

The spelling of 201430200 in words is "two hundred one million, four hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 97 100 120 150 194 200 291 300 388 485 582 600 776 970 1164 1455 1940 2328 2425 2910 3461 3880 4850 5820 6922 7275 9700 10383 11640 13844 14550 17305 19400 20766 27688 29100 34610 41532 51915 58200 69220 83064 86525 103830 138440 173050 207660 259575 335717 346100 415320 519150 671434 692200 1007151 1038300 1342868 1678585 2014302 2076600 2685736 3357170 4028604 5035755 6714340 8057208 8392925 10071510 13428680 16785850 20143020 25178775 33571700 40286040 50357550 67143400 100715100 201430200