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223488 = 283297
BaseRepresentation
bin110110100100000000
3102100120100
4312210000
524122423
64442400
71620366
oct664400
9370510
10223488
11142a01
12a9400
137a955
145b636
1546343
hex36900

223488 has 54 divisors (see below), whose sum is σ = 651014. Its totient is φ = 73728.

The previous prime is 223481. The next prime is 223493. The reversal of 223488 is 884322.

It can be written as a sum of positive squares in only one way, i.e., 186624 + 36864 = 432^2 + 192^2 .

It is a super-2 number, since 2×2234882 = 99893772288, which contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 8.

It is not an unprimeable number, because it can be changed into a prime (223481) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2256 + ... + 2352.

223488 is a Friedman number, since it can be written as 388*24^2, using all its digits and the basic arithmetic operations.

2223488 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 223488, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (325507).

223488 is an abundant number, since it is smaller than the sum of its proper divisors (427526).

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

223488 is an equidigital number, since it uses as much as digits as its factorization.

223488 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 119 (or 102 counting only the distinct ones).

The product of its digits is 3072, while the sum is 27.

The square root of 223488 is about 472.7451744862. The cubic root of 223488 is about 60.6854723060.

The spelling of 223488 in words is "two hundred twenty-three thousand, four hundred eighty-eight".