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233000020200 = 233521031376657
BaseRepresentation
bin1101100011111111100…
…0100010100011101000
3211021102011122101220210
43120333320202203220
512304141001121300
6255012211021120
722555646331303
oct3307770424350
9737364571823
10233000020200
118a8a6489872
12391a729a7a0
1318c830a4a4c
14b3c4b39b3a
1560da648050
hex363fe228e8

233000020200 has 96 divisors (see below), whose sum is σ = 723002564160. Its totient is φ = 62072908800.

The previous prime is 233000020171. The next prime is 233000020213. The reversal of 233000020200 is 2020000332.

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

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, 430272 + ... + 806928.

It is an arithmetic number, because the mean of its divisors is an integer number (7531276710).

Almost surely, 2233000020200 is an apocalyptic number.

233000020200 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 233000020200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361501282080).

233000020200 is an abundant number, since it is smaller than the sum of its proper divisors (490002543960).

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

233000020200 is a wasteful number, since it uses less digits than its factorization.

233000020200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 377707 (or 377698 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

Adding to 233000020200 its reverse (2020000332), we get a palindrome (235020020532).

The spelling of 233000020200 in words is "two hundred thirty-three billion, twenty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 600 1031 2062 3093 4124 5155 6186 8248 10310 12372 15465 20620 24744 25775 30930 41240 51550 61860 77325 103100 123720 154650 206200 309300 376657 618600 753314 1129971 1506628 1883285 2259942 3013256 3766570 4519884 5649855 7533140 9039768 9416425 11299710 15066280 18832850 22599420 28249275 37665700 45198840 56498550 75331400 112997100 225994200 388333367 776666734 1165000101 1553333468 1941666835 2330000202 3106666936 3883333670 4660000404 5825000505 7766667340 9320000808 9708334175 11650001010 15533334680 19416668350 23300002020 29125002525 38833336700 46600004040 58250005050 77666673400 116500010100 233000020200