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15228 = 223447
BaseRepresentation
bin11101101111100
3202220000
43231330
5441403
6154300
762253
oct35574
922800
1015228
1110494
128990
136c15
14579a
1547a3
hex3b7c

15228 has 30 divisors (see below), whose sum is σ = 40656. Its totient is φ = 4968.

The previous prime is 15227. The next prime is 15233. The reversal of 15228 is 82251.

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

It is a plaindrome in base 14.

It is a self number, because there is not a number n which added to its sum of digits gives 15228.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (15227) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 301 + ... + 347.

215228 is an apocalyptic number.

15228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 15228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20328).

15228 is an abundant number, since it is smaller than the sum of its proper divisors (25428).

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

15228 is a wasteful number, since it uses less digits than its factorization.

15228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 63 (or 52 counting only the distinct ones).

The product of its digits is 160, while the sum is 18.

The square root of 15228 is about 123.4017828072. The cubic root of 15228 is about 24.7864476770.

Adding to 15228 its reverse (82251), we get a palindrome (97479).

It can be divided in two parts, 15 and 228, that added together give a 5-th power (243 = 35).

The spelling of 15228 in words is "fifteen thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 47 54 81 94 108 141 162 188 282 324 423 564 846 1269 1692 2538 3807 5076 7614 15228