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33000230200 = 23527163144611
BaseRepresentation
bin11110101110111101…
…111000110100111000
310011011211202101111011
4132232331320310320
51020041024331300
623054325243304
72245530220450
oct365675706470
9104154671434
1033000230200
1112aa4851423
12648b863534
13315bb2a342
141850ab0d60
15cd2215eba
hex7aef78d38

33000230200 has 96 divisors (see below), whose sum is σ = 88224888960. Its totient is φ = 11244873600.

The previous prime is 33000230189. The next prime is 33000230201. The reversal of 33000230200 is 203200033.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (33000230201) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 155895 + ... + 300505.

It is an arithmetic number, because the mean of its divisors is an integer number (919009260).

Almost surely, 233000230200 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33000230200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44112444480).

33000230200 is an abundant number, since it is smaller than the sum of its proper divisors (55224658760).

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

33000230200 is a wasteful number, since it uses less digits than its factorization.

33000230200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 144797 (or 144788 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

Adding to 33000230200 its reverse (203200033), we get a palindrome (33203430233).

The spelling of 33000230200 in words is "thirty-three billion, two hundred thirty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 20 25 28 35 40 50 56 70 100 140 163 175 200 280 326 350 652 700 815 1141 1304 1400 1630 2282 3260 4075 4564 5705 6520 8150 9128 11410 16300 22820 28525 32600 45640 57050 114100 144611 228200 289222 578444 723055 1012277 1156888 1446110 2024554 2892220 3615275 4049108 5061385 5784440 7230550 8098216 10122770 14461100 20245540 23571593 25306925 28922200 40491080 47143186 50613850 94286372 101227700 117857965 165001151 188572744 202455400 235715930 330002302 471431860 589289825 660004604 825005755 942863720 1178579650 1320009208 1650011510 2357159300 3300023020 4125028775 4714318600 6600046040 8250057550 16500115100 33000230200