Base | Representation |
---|---|
bin | 11011110010100… |
… | …00001101110000 |
3 | 121020122100010210 |
4 | 31321100031300 |
5 | 434134044212 |
6 | 35044224120 |
7 | 5530265040 |
oct | 1571201560 |
9 | 536570123 |
10 | 233112432 |
11 | 10a649903 |
12 | 6609b040 |
13 | 393abb67 |
14 | 22d61720 |
15 | 156ea53c |
hex | de50370 |
233112432 has 160 divisors (see below), whose sum is σ = 749094912. Its totient is φ = 60936192.
The previous prime is 233112431. The next prime is 233112443. The reversal of 233112432 is 234211332.
It is a Harshad number since it is a multiple of its sum of digits (21).
It is a nude number because it is divisible by every one of its digits.
It is a junction number, because it is equal to n+sod(n) for n = 233112399 and 233112408.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233112431) 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 31 ways as a sum of consecutive naturals, for example, 210793 + ... + 211895.
Almost surely, 2233112432 is an apocalyptic number.
It is an amenable number.
It is a practical number, because each smaller number is the sum of distinct divisors of 233112432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (374547456).
233112432 is an abundant number, since it is smaller than the sum of its proper divisors (515982480).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233112432 is a wasteful number, since it uses less digits than its factorization.
233112432 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 1175 (or 1169 counting only the distinct ones).
The product of its digits is 864, while the sum is 21.
The square root of 233112432 is about 15268.0199109118. The cubic root of 233112432 is about 615.4439097930.
Adding to 233112432 its reverse (234211332), we get a palindrome (467323764).
The spelling of 233112432 in words is "two hundred thirty-three million, one hundred twelve thousand, four hundred thirty-two".
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