Base | Representation |
---|---|
bin | 11011110010100… |
… | …00110111011110 |
3 | 121020122110210200 |
4 | 31321100313132 |
5 | 434134140402 |
6 | 35044244330 |
7 | 5530305603 |
oct | 1571206736 |
9 | 536573720 |
10 | 233115102 |
11 | 10a650910 |
12 | 660a06a6 |
13 | 393b013c |
14 | 22d626aa |
15 | 156eb21c |
hex | de50dde |
233115102 has 96 divisors (see below), whose sum is σ = 574718976. Its totient is φ = 67651200.
The previous prime is 233115037. The next prime is 233115107. The reversal of 233115102 is 201511332.
233115102 is digitally balanced in base 3, 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 a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233115107) 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 47 ways as a sum of consecutive naturals, for example, 1000378 + ... + 1000610.
It is an arithmetic number, because the mean of its divisors is an integer number (5986656).
Almost surely, 2233115102 is an apocalyptic number.
233115102 is a gapful number since it is divisible by the number (22) formed by its first and last digit.
It is a practical number, because each smaller number is the sum of distinct divisors of 233115102, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287359488).
233115102 is an abundant number, since it is smaller than the sum of its proper divisors (341603874).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233115102 is a wasteful number, since it uses less digits than its factorization.
233115102 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 446 (or 443 counting only the distinct ones).
The product of its (nonzero) digits is 180, while the sum is 18.
The square root of 233115102 is about 15268.1073483258. The cubic root of 233115102 is about 615.4462594875.
Adding to 233115102 its reverse (201511332), we get a palindrome (434626434).
The spelling of 233115102 in words is "two hundred thirty-three million, one hundred fifteen thousand, one hundred two".
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