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200230200 = 233252173643
BaseRepresentation
bin10111110111101…
…00010100111000
3111221202202012100
423323310110320
5402224331300
631511343400
74650633342
oct1373642470
9457682170
10200230200
11a302aa05
1257081b60
1332638011
141c842292
15128a2700
hexbef4538

200230200 has 144 divisors (see below), whose sum is σ = 677378520. Its totient is φ = 53003520.

The previous prime is 200230187. The next prime is 200230207. The reversal of 200230200 is 2032002.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (200230207) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 311079 + ... + 311721.

Almost surely, 2200230200 is an apocalyptic number.

200230200 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 200230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (338689260).

200230200 is an abundant number, since it is smaller than the sum of its proper divisors (477148320).

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

200230200 is a wasteful number, since it uses less digits than its factorization.

200230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 24, while the sum is 9.

The square root of 200230200 is about 14150.2720821898. The cubic root of 200230200 is about 585.0278312422.

Adding to 200230200 its reverse (2032002), we get a palindrome (202262202).

It can be divided in two parts, 200 and 230200, that added together give a square (230400 = 4802).

The spelling of 200230200 in words is "two hundred million, two hundred thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 100 120 150 173 180 200 225 300 346 360 450 519 600 643 692 865 900 1038 1286 1384 1557 1730 1800 1929 2076 2572 2595 3114 3215 3460 3858 4152 4325 5144 5190 5787 6228 6430 6920 7716 7785 8650 9645 10380 11574 12456 12860 12975 15432 15570 16075 17300 19290 20760 23148 25720 25950 28935 31140 32150 34600 38580 38925 46296 48225 51900 57870 62280 64300 77160 77850 96450 103800 111239 115740 128600 144675 155700 192900 222478 231480 289350 311400 333717 385800 444956 556195 578700 667434 889912 1001151 1112390 1157400 1334868 1668585 2002302 2224780 2669736 2780975 3337170 4004604 4449560 5005755 5561950 6674340 8009208 8342925 10011510 11123900 13348680 16685850 20023020 22247800 25028775 33371700 40046040 50057550 66743400 100115100 200230200