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233420 = 225111061
BaseRepresentation
bin111000111111001100
3102212012012
4320333030
524432140
65000352
71661345
oct707714
9385165
10233420
1114a410
12b30b8
1382325
14610cc
1549265
hex38fcc

233420 has 24 divisors (see below), whose sum is σ = 535248. Its totient is φ = 84800.

The previous prime is 233419. The next prime is 233423. The reversal of 233420 is 24332.

Adding to 233420 its reverse (24332), we get a palindrome (257752).

It can be divided in two parts, 23 and 3420, that added together give a palindrome (3443).

It is a zygodrome in base 2.

It is a junction number, because it is equal to n+sod(n) for n = 233395 and 233404.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 311 + ... + 750.

It is an arithmetic number, because the mean of its divisors is an integer number (22302).

2233420 is an apocalyptic number.

233420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

233420 is an abundant number, since it is smaller than the sum of its proper divisors (301828).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

233420 is a wasteful number, since it uses less digits than its factorization.

233420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1081 (or 1079 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 14.

The square root of 233420 is about 483.1355917338. The cubic root of 233420 is about 61.5714462593.

The spelling of 233420 in words is "two hundred thirty-three thousand, four hundred twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 1061 2122 4244 5305 10610 11671 21220 23342 46684 58355 116710 233420