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224460 = 223252943
BaseRepresentation
bin110110110011001100
3102101220100
4312303030
524140320
64451100
71623255
oct666314
9371810
10224460
11143705
12a9a90
137b222
145bb2c
1546790
hex36ccc

224460 has 72 divisors (see below), whose sum is σ = 720720. Its totient is φ = 56448.

The previous prime is 224449. The next prime is 224461. The reversal of 224460 is 64422.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (224461) by changing a digit.

224460 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 23 ways as a sum of consecutive naturals, for example, 5199 + ... + 5241.

It is an arithmetic number, because the mean of its divisors is an integer number (10010).

2224460 is an apocalyptic number.

224460 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

224460 is the 387-th pentagonal number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 224460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (360360).

224460 is an abundant number, since it is smaller than the sum of its proper divisors (496260).

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

224460 is a wasteful number, since it uses less digits than its factorization.

224460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 18.

The square root of 224460 is about 473.7720971100. The cubic root of 224460 is about 60.7733233617.

Adding to 224460 its reverse (64422), we get a palindrome (288882).

It can be divided in two parts, 2244 and 60, that added together give a square (2304 = 482).

The spelling of 224460 in words is "two hundred twenty-four thousand, four hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 29 30 36 43 45 58 60 86 87 90 116 129 145 172 174 180 215 258 261 290 348 387 430 435 516 522 580 645 774 860 870 1044 1247 1290 1305 1548 1740 1935 2494 2580 2610 3741 3870 4988 5220 6235 7482 7740 11223 12470 14964 18705 22446 24940 37410 44892 56115 74820 112230 224460