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224048 = 24111967
BaseRepresentation
bin110110101100110000
3102101100002
4312230300
524132143
64445132
71622126
oct665460
9371302
10224048
11143370
12a97a8
137ac96
145b916
15465b8
hex36b30

224048 has 40 divisors (see below), whose sum is σ = 505920. Its totient is φ = 95040.

The previous prime is 224047. The next prime is 224057. The reversal of 224048 is 840422.

224048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (224041) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3311 + ... + 3377.

It is an arithmetic number, because the mean of its divisors is an integer number (12648).

2224048 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 224048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252960).

224048 is an abundant number, since it is smaller than the sum of its proper divisors (281872).

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

224048 is a wasteful number, since it uses less digits than its factorization.

224048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 99 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

The square root of 224048 is about 473.3370891870. The cubic root of 224048 is about 60.7361171119.

The spelling of 224048 in words is "two hundred twenty-four thousand, forty-eight".

Divisors: 1 2 4 8 11 16 19 22 38 44 67 76 88 134 152 176 209 268 304 418 536 737 836 1072 1273 1474 1672 2546 2948 3344 5092 5896 10184 11792 14003 20368 28006 56012 112024 224048