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331242200 = 235219611429
BaseRepresentation
bin10011101111100…
…101101011011000
3212002021211212122
4103233211223120
51134244222300
652511400412
711131340462
oct2357455330
9762254778
10331242200
1115aa83193
1292b23108
1353819303
1431dc7132
151e130c85
hex13be5ad8

331242200 has 96 divisors (see below), whose sum is σ = 824538000. Its totient is φ = 123379200.

The previous prime is 331242199. The next prime is 331242217. The reversal of 331242200 is 2242133.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 231086 + ... + 232514.

Almost surely, 2331242200 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 331242200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (412269000).

331242200 is an abundant number, since it is smaller than the sum of its proper divisors (493295800).

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

331242200 is a wasteful number, since it uses less digits than its factorization.

331242200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1525 (or 1516 counting only the distinct ones).

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

The square root of 331242200 is about 18200.0604394601. The cubic root of 331242200 is about 691.9083209094.

Adding to 331242200 its reverse (2242133), we get a palindrome (333484333).

The spelling of 331242200 in words is "three hundred thirty-one million, two hundred forty-two thousand, two hundred".

Divisors: 1 2 4 5 8 10 19 20 25 38 40 50 61 76 95 100 122 152 190 200 244 305 380 475 488 610 760 950 1159 1220 1429 1525 1900 2318 2440 2858 3050 3800 4636 5716 5795 6100 7145 9272 11432 11590 12200 14290 23180 27151 28580 28975 35725 46360 54302 57160 57950 71450 87169 108604 115900 135755 142900 174338 217208 231800 271510 285800 348676 435845 543020 678775 697352 871690 1086040 1357550 1656211 1743380 2179225 2715100 3312422 3486760 4358450 5430200 6624844 8281055 8716900 13249688 16562110 17433800 33124220 41405275 66248440 82810550 165621100 331242200