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233798820 = 223512893023
BaseRepresentation
bin11011110111101…
…11110010100100
3121021221012200120
431323313302210
5434323030240
635111041540
75536154133
oct1573676244
9537835616
10233798820
1110aa78572
12663702b0
133958c3c8
142309d91a
15157d3ad0
hexdef7ca4

233798820 has 48 divisors (see below), whose sum is σ = 655361280. Its totient is φ = 62277376.

The previous prime is 233798771. The next prime is 233798837. The reversal of 233798820 is 28897332.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 75829 + ... + 78851.

It is an arithmetic number, because the mean of its divisors is an integer number (13653360).

Almost surely, 2233798820 is an apocalyptic number.

233798820 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233798820 is an abundant number, since it is smaller than the sum of its proper divisors (421562460).

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

233798820 is a wasteful number, since it uses less digits than its factorization.

233798820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4324 (or 4322 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 42.

The square root of 233798820 is about 15290.4813527894. The cubic root of 233798820 is about 616.0473659255.

The spelling of 233798820 in words is "two hundred thirty-three million, seven hundred ninety-eight thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 60 1289 2578 3023 3867 5156 6046 6445 7734 9069 12092 12890 15115 15468 18138 19335 25780 30230 36276 38670 45345 60460 77340 90690 181380 3896647 7793294 11689941 15586588 19483235 23379882 38966470 46759764 58449705 77932940 116899410 233798820