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224848 = 24132347
BaseRepresentation
bin110110111001010000
3102102102201
4312321100
524143343
64452544
71624351
oct667120
9372381
10224848
11143a28
12aa154
137b460
145bd28
154694d
hex36e50

224848 has 40 divisors (see below), whose sum is σ = 499968. Its totient is φ = 97152.

The previous prime is 224831. The next prime is 224863. The reversal of 224848 is 848422.

224848 is nontrivially palindromic in base 6.

224848 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4761 + ... + 4807.

2224848 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 224848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249984).

224848 is an abundant number, since it is smaller than the sum of its proper divisors (275120).

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

224848 is a wasteful number, since it uses less digits than its factorization.

224848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 91 (or 85 counting only the distinct ones).

The product of its digits is 4096, while the sum is 28.

The square root of 224848 is about 474.1813998883. The cubic root of 224848 is about 60.8083206526.

The spelling of 224848 in words is "two hundred twenty-four thousand, eight hundred forty-eight".

Divisors: 1 2 4 8 13 16 23 26 46 47 52 92 94 104 184 188 208 299 368 376 598 611 752 1081 1196 1222 2162 2392 2444 4324 4784 4888 8648 9776 14053 17296 28106 56212 112424 224848