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BaseRepresentation
bin111001000110101000
3102212211211
4321012220
524441041
65002504
71662625
oct710650
9385754
10233896
1114a803
12b3434
1382600
146134c
1549481
hex391a8

233896 has 24 divisors (see below), whose sum is σ = 477630. Its totient is φ = 107328.

The previous prime is 233881. The next prime is 233911. The reversal of 233896 is 698332.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (233881) and next prime (233911).

It can be written as a sum of positive squares in 3 ways, for example, as 171396 + 62500 = 414^2 + 250^2 .

It is an unprimeable number.

233896 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1266 + ... + 1438.

233896 is a Friedman number, since it can be written as 692*338, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 338692 (with its own digits).

2233896 is an apocalyptic number.

233896 is a gapful number since it is divisible by the number (26) 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 233896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238815).

233896 is an abundant number, since it is smaller than the sum of its proper divisors (243734).

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

233896 is a wasteful number, since it uses less digits than its factorization.

233896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205 (or 188 counting only the distinct ones).

The product of its digits is 7776, while the sum is 31.

The square root of 233896 is about 483.6279561812. The cubic root of 233896 is about 61.6132708800.

The spelling of 233896 in words is "two hundred thirty-three thousand, eight hundred ninety-six".