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229648 = 2431463

229648 has 20 divisors (see below), whose sum is σ = 460288. Its totient is φ = 110880.

The previous prime is 229639. The next prime is 229681. The reversal of 229648 is 846922.

229648 is an admirable number.

It is a super-3 number, since 3×2296483 = 36333669150437376, which contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (31).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 265 + ... + 727.

229648 is a Friedman number, since it can be written as 926*248, using all its digits and the basic arithmetic operations.

It is a vampire number, since it can be written as 248926 (with its own digits).

2229648 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 229648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230144).

229648 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

229648 is a wasteful number, since it uses less digits than its factorization.

229648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502 (or 496 counting only the distinct ones).

The product of its digits is 6912, while the sum is 31.

The square root of 229648 is about 479.2160264432. The cubic root of 229648 is about 61.2379845930.

The spelling of 229648 in words is "two hundred twenty-nine thousand, six hundred forty-eight".

Divisors: 1 2 4 8 16 31 62 124 248 463 496 926 1852 3704 7408 14353 28706 57412 114824 229648