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233850012 = 223112417351
BaseRepresentation
bin11011111000001…
…00010010011100
3121022000210220120
431330010102130
5434331200022
635112114540
75536456314
oct1574042234
9538023816
10233850012
11110002a80
1266395a50
13395a97b6
14230b4444
15157e3d5c
hexdf0449c

233850012 has 48 divisors (see below), whose sum is σ = 597805824. Its totient is φ = 70560000.

The previous prime is 233850007. The next prime is 233850013. The reversal of 233850012 is 210058332.

It is a super-2 number, since 2×2338500122 = 109371656224800288, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233850013) 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 15 ways as a sum of consecutive naturals, for example, 28137 + ... + 35487.

It is an arithmetic number, because the mean of its divisors is an integer number (12454288).

Almost surely, 2233850012 is an apocalyptic number.

233850012 is a gapful number since it is divisible by the number (22) 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 233850012, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (298902912).

233850012 is an abundant number, since it is smaller than the sum of its proper divisors (363955812).

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

233850012 is a wasteful number, since it uses less digits than its factorization.

233850012 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7610 (or 7608 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 233850012 is about 15292.1552437843. The cubic root of 233850012 is about 616.0923253701.

The spelling of 233850012 in words is "two hundred thirty-three million, eight hundred fifty thousand, twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 241 482 723 964 1446 2651 2892 5302 7351 7953 10604 14702 15906 22053 29404 31812 44106 80861 88212 161722 242583 323444 485166 970332 1771591 3543182 5314773 7086364 10629546 19487501 21259092 38975002 58462503 77950004 116925006 233850012