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233903880 = 233257101919
BaseRepresentation
bin11011111000100…
…01011100001000
3121022010112210200
431330101130020
5434334411010
635113212200
75540102340
oct1574213410
9538115720
10233903880
1111003a4a1
1266401060
13395c8182
14230c9d20
1515804cc0
hexdf11708

233903880 has 192 divisors, whose sum is σ = 878342400. Its totient is φ = 52876800.

The previous prime is 233903849. The next prime is 233903881. The reversal of 233903880 is 88309332.

233903880 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2339038802 = 109422050158108800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233903881) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 254061 + ... + 254979.

It is an arithmetic number, because the mean of its divisors is an integer number (4574700).

Almost surely, 2233903880 is an apocalyptic number.

233903880 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 233903880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (439171200).

233903880 is an abundant number, since it is smaller than the sum of its proper divisors (644438520).

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

233903880 is a wasteful number, since it uses less digits than its factorization.

233903880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1044 (or 1037 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 233903880 is about 15293.9164375905. The cubic root of 233903880 is about 616.1396279312.

The spelling of 233903880 in words is "two hundred thirty-three million, nine hundred three thousand, eight hundred eighty".