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224196 = 223717157
BaseRepresentation
bin110110101111000100
3102101112120
4312233010
524133241
64445540
71622430
oct665704
9371476
10224196
11143495
12a98b0
137b07b
145b9c0
1546666
hex36bc4

224196 has 48 divisors (see below), whose sum is σ = 637056. Its totient is φ = 59904.

The previous prime is 224177. The next prime is 224197. The reversal of 224196 is 691422.

It is a plaindrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (224197) by changing a digit.

224196 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 15 ways as a sum of consecutive naturals, for example, 1350 + ... + 1506.

It is an arithmetic number, because the mean of its divisors is an integer number (13272).

2224196 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 224196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318528).

224196 is an abundant number, since it is smaller than the sum of its proper divisors (412860).

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

224196 is a wasteful number, since it uses less digits than its factorization.

224196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 188 (or 186 counting only the distinct ones).

The product of its digits is 864, while the sum is 24.

The square root of 224196 is about 473.4934001652. The cubic root of 224196 is about 60.7494877093.

The spelling of 224196 in words is "two hundred twenty-four thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 7 12 14 17 21 28 34 42 51 68 84 102 119 157 204 238 314 357 471 476 628 714 942 1099 1428 1884 2198 2669 3297 4396 5338 6594 8007 10676 13188 16014 18683 32028 37366 56049 74732 112098 224196