| Base | Representation |
|---|---|
| bin | 11011110010101… |
| … | …11111011100000 |
| 3 | 121020200221111011 |
| 4 | 31321113323200 |
| 5 | 434141102112 |
| 6 | 35045030304 |
| 7 | 5530456132 |
| oct | 1571277340 |
| 9 | 536627434 |
| 10 | 233144032 |
| 11 | 10a670620 |
| 12 | 660b5394 |
| 13 | 393c0364 |
| 14 | 22d6d052 |
| 15 | 15704aa7 |
| hex | de57ee0 |
233144032 has 48 divisors (see below), whose sum is σ = 510218352. Its totient is φ = 103966720.
The previous prime is 233144027. The next prime is 233144063. The reversal of 233144032 is 230441332.
It is a happy number.
It is a super-2 number, since 2×2331440322 = 108712279314434048, which contains 22 as substring.
It is a Harshad number since it is a multiple of its sum of digits (22).
It is a junction number, because it is equal to n+sod(n) for n = 233143994 and 233144012.
It is a congruent number.
It is an unprimeable number.
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 7 ways as a sum of consecutive naturals, for example, 12408 + ... + 24904.
It is an arithmetic number, because the mean of its divisors is an integer number (10629549).
Almost surely, 2233144032 is an apocalyptic number.
233144032 is a gapful number since it is divisible by the number (22) 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 233144032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255109176).
233144032 is an abundant number, since it is smaller than the sum of its proper divisors (277074320).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233144032 is a wasteful number, since it uses less digits than its factorization.
233144032 is an odious number, because the sum of its binary digits is odd.
The sum of its prime factors is 12571 (or 12563 counting only the distinct ones).
The product of its (nonzero) digits is 1728, while the sum is 22.
The square root of 233144032 is about 15269.0547186131. The cubic root of 233144032 is about 615.4717177606.
Adding to 233144032 its reverse (230441332), we get a palindrome (463585364).
The spelling of 233144032 in words is "two hundred thirty-three million, one hundred forty-four thousand, thirty-two".
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