Search a number
-
+
200312232200 = 235241163149867
BaseRepresentation
bin1011101010001110001…
…0100001100100001000
3201011001002210201112222
42322203202201210020
511240214412412300
6232004442153212
720320631610653
oct2724342414410
9634032721488
10200312232200
1177a5203a943
12329a41b2808
1315b73c10862
1499a375a89a
155325a9c785
hex2ea38a1908

200312232200 has 96 divisors (see below), whose sum is σ = 480015214560. Its totient is φ = 77690534400.

The previous prime is 200312232163. The next prime is 200312232227. The reversal of 200312232200 is 2232213002.

200312232200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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, 1261667 + ... + 1411533.

It is an arithmetic number, because the mean of its divisors is an integer number (5000158485).

Almost surely, 2200312232200 is an apocalyptic number.

200312232200 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 200312232200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240007607280).

200312232200 is an abundant number, since it is smaller than the sum of its proper divisors (279702982360).

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

200312232200 is a wasteful number, since it uses less digits than its factorization.

200312232200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 150087 (or 150078 counting only the distinct ones).

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

Adding to 200312232200 its reverse (2232213002), we get a palindrome (202544445202).

The spelling of 200312232200 in words is "two hundred billion, three hundred twelve million, two hundred thirty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 20 25 40 41 50 82 100 163 164 200 205 326 328 410 652 815 820 1025 1304 1630 1640 2050 3260 4075 4100 6520 6683 8150 8200 13366 16300 26732 32600 33415 53464 66830 133660 149867 167075 267320 299734 334150 599468 668300 749335 1198936 1336600 1498670 2997340 3746675 5994680 6144547 7493350 12289094 14986700 24428321 24578188 29973400 30722735 48856642 49156376 61445470 97713284 122141605 122890940 153613675 195426568 244283210 245781880 307227350 488566420 610708025 614454700 977132840 1001561161 1221416050 1228909400 2003122322 2442832100 4006244644 4885664200 5007805805 8012489288 10015611610 20031223220 25039029025 40062446440 50078058050 100156116100 200312232200