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233883025 = 52171733181
BaseRepresentation
bin11011111000011…
…00010110010001
3121022002111012021
431330030112101
5434333224100
635112531441
75536654465
oct1574142621
9538074167
10233883025
11110025862
12663b0b81
13395bb82c
14230c24a5
15157eda1a
hexdf0c591

233883025 has 24 divisors (see below), whose sum is σ = 308946744. Its totient is φ = 175027200.

The previous prime is 233882963. The next prime is 233883047. The reversal of 233883025 is 520388332.

It is a happy number.

233883025 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 12 ways, for example, as 35664784 + 198218241 = 5972^2 + 14079^2 .

It is not a de Polignac number, because 233883025 - 223 = 225494417 is a prime.

It is a Duffinian number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 71935 + ... + 75115.

It is an arithmetic number, because the mean of its divisors is an integer number (12872781).

Almost surely, 2233883025 is an apocalyptic number.

233883025 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

233883025 is a deficient number, since it is larger than the sum of its proper divisors (75063719).

233883025 is a wasteful number, since it uses less digits than its factorization.

233883025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3381 (or 3376 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 34.

The square root of 233883025 is about 15293.2346153454. The cubic root of 233883025 is about 616.1213156030.

The spelling of 233883025 in words is "two hundred thirty-three million, eight hundred eighty-three thousand, twenty-five".

Divisors: 1 5 17 25 85 173 425 865 2941 3181 4325 14705 15905 54077 73525 79525 270385 550313 1351925 2751565 9355321 13757825 46776605 233883025