Base | Representation |
---|---|
bin | 11011101111111… |
… | …01110110000000 |
3 | 121020000012022210 |
4 | 31313331312000 |
5 | 434042300130 |
6 | 35033102120 |
7 | 5524361301 |
oct | 1567756600 |
9 | 536005283 |
10 | 232775040 |
11 | 10a439373 |
12 | 65b57940 |
13 | 392c1414 |
14 | 22cb47a8 |
15 | 156805b0 |
hex | ddfdd80 |
232775040 has 128 divisors (see below), whose sum is σ = 760324320. Its totient is φ = 60538880.
The previous prime is 232775021. The next prime is 232775041. The reversal of 232775040 is 40577232.
It is a tau number, because it is divible by the number of its divisors (128).
It is a Harshad number since it is a multiple of its sum of digits (30).
It is a junction number, because it is equal to n+sod(n) for n = 232774989 and 232775007.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (232775041) by changing a digit.
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 15 ways as a sum of consecutive naturals, for example, 77242 + ... + 80198.
Almost surely, 2232775040 is an apocalyptic number.
232775040 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 232775040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (380162160).
232775040 is an abundant number, since it is smaller than the sum of its proper divisors (527549280).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
232775040 is a wasteful number, since it uses less digits than its factorization.
232775040 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 3020 (or 3008 counting only the distinct ones).
The product of its (nonzero) digits is 11760, while the sum is 30.
The square root of 232775040 is about 15256.9669331752. The cubic root of 232775040 is about 615.1468484019.
The spelling of 232775040 in words is "two hundred thirty-two million, seven hundred seventy-five thousand, forty".
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