Base | Representation |
---|---|
bin | 11011110010000… |
… | …01101101001010 |
3 | 121020112022121200 |
4 | 31321001231022 |
5 | 434130144002 |
6 | 35043045030 |
7 | 5526626550 |
oct | 1571015512 |
9 | 536468550 |
10 | 233053002 |
11 | 10a609196 |
12 | 66070776 |
13 | 3938aab0 |
14 | 22d47bd0 |
15 | 156d7b1c |
hex | de41b4a |
233053002 has 96 divisors (see below), whose sum is σ = 629690880. Its totient is φ = 60652800.
The previous prime is 233052959. The next prime is 233053013. The reversal of 233053002 is 200350332.
233053002 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.
It is a Harshad number since it is a multiple of its sum of digits (18).
It is an unprimeable number.
It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 128502 + ... + 130302.
It is an arithmetic number, because the mean of its divisors is an integer number (6559280).
Almost surely, 2233053002 is an apocalyptic number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233053002, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314845440).
233053002 is an abundant number, since it is smaller than the sum of its proper divisors (396637878).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233053002 is a wasteful number, since it uses less digits than its factorization.
233053002 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 1908 (or 1905 counting only the distinct ones).
The product of its (nonzero) digits is 540, while the sum is 18.
The square root of 233053002 is about 15266.0735619871. The cubic root of 233053002 is about 615.3916046458.
The spelling of 233053002 in words is "two hundred thirty-three million, fifty-three thousand, two".
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