Base | Representation |
---|---|
bin | 11011110011011… |
… | …10001111011100 |
3 | 121020212120211220 |
4 | 31321232033130 |
5 | 434202013140 |
6 | 35051013340 |
7 | 5531316435 |
oct | 1571561734 |
9 | 536776756 |
10 | 233235420 |
11 | 10a723250 |
12 | 6613a250 |
13 | 39422b32 |
14 | 22d9448c |
15 | 15721bd0 |
hex | de6e3dc |
233235420 has 96 divisors (see below), whose sum is σ = 731759616. Its totient is φ = 55008000.
The previous prime is 233235407. The next prime is 233235421. The reversal of 233235420 is 24532332.
It is a super-2 number, since 2×2332354202 = 108797522285152800, which contains 22 as substring.
It is a congruent number.
It is not an unprimeable number, because it can be changed into a prime (233235421) by changing a digit.
It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 19645 + ... + 29195.
It is an arithmetic number, because the mean of its divisors is an integer number (7622496).
Almost surely, 2233235420 is an apocalyptic number.
233235420 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 233235420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365879808).
233235420 is an abundant number, since it is smaller than the sum of its proper divisors (498524196).
It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.
233235420 is a wasteful number, since it uses less digits than its factorization.
233235420 is an evil number, because the sum of its binary digits is even.
The sum of its prime factors is 9611 (or 9609 counting only the distinct ones).
The product of its (nonzero) digits is 4320, while the sum is 24.
The square root of 233235420 is about 15272.0470140712. The cubic root of 233235420 is about 615.5521249681.
Adding to 233235420 its reverse (24532332), we get a palindrome (257767752).
The spelling of 233235420 in words is "two hundred thirty-three million, two hundred thirty-five thousand, four hundred twenty".
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