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213202230200 = 235243113219389
BaseRepresentation
bin1100011010001111010…
…1111101101110111000
3202101022102121110122022
43012203311331232320
511443114232331300
6241535503414012
721255231025031
oct3064365755670
9671272543568
10213202230200
1182467112153
12353a0bb4308
13171495792cb
14a46764da88
15582c521285
hex31a3d7dbb8

213202230200 has 96 divisors (see below), whose sum is σ = 511714011600. Its totient is φ = 82560092160.

The previous prime is 213202230181. The next prime is 213202230221. The reversal of 213202230200 is 2032202312.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 862106 + ... + 1081494.

Almost surely, 2213202230200 is an apocalyptic number.

213202230200 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 213202230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255857005800).

213202230200 is an abundant number, since it is smaller than the sum of its proper divisors (298511781400).

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

213202230200 is a wasteful number, since it uses less digits than its factorization.

213202230200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219561 (or 219552 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 17.

Adding to 213202230200 its reverse (2032202312), we get a palindrome (215234432512).

The spelling of 213202230200 in words is "two hundred thirteen billion, two hundred two million, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 43 50 86 100 113 172 200 215 226 344 430 452 565 860 904 1075 1130 1720 2150 2260 2825 4300 4520 4859 5650 8600 9718 11300 19436 22600 24295 38872 48590 97180 121475 194360 219389 242950 438778 485900 877556 971800 1096945 1755112 2193890 4387780 5484725 8775560 9433727 10969450 18867454 21938900 24790957 37734908 43877800 47168635 49581914 75469816 94337270 99163828 123954785 188674540 198327656 235843175 247909570 377349080 471686350 495819140 619773925 943372700 991638280 1066011151 1239547850 1886745400 2132022302 2479095700 4264044604 4958191400 5330055755 8528089208 10660111510 21320223020 26650278775 42640446040 53300557550 106601115100 213202230200