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10224 = 243271
BaseRepresentation
bin10011111110000
3112000200
42133300
5311344
6115200
741544
oct23760
915020
1010224
117755
125b00
134866
143a24
153069
hex27f0

10224 has 30 divisors (see below), whose sum is σ = 29016. Its totient is φ = 3360.

The previous prime is 10223. The next prime is 10243. The reversal of 10224 is 42201.

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a nialpdrome in base 11.

It is a zygodrome in base 11.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10223) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109 + ... + 179.

210224 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 10224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14508).

10224 is an abundant number, since it is smaller than the sum of its proper divisors (18792).

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

10224 is a wasteful number, since it uses less digits than its factorization.

10224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 85 (or 76 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 10224 is about 101.1137972781. The cubic root of 10224 is about 21.7040249636.

Adding to 10224 its reverse (42201), we get a palindrome (52425).

The spelling of 10224 in words is "ten thousand, two hundred twenty-four", and thus it is an iban number.

Divisors: 1 2 3 4 6 8 9 12 16 18 24 36 48 71 72 142 144 213 284 426 568 639 852 1136 1278 1704 2556 3408 5112 10224