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52224 = 210317
BaseRepresentation
bin1100110000000000
32122122020
430300000
53132344
61041440
7305154
oct146000
978566
1052224
1136267
1226280
131aa03
1415064
1510719
hexcc00

52224 has 44 divisors (see below), whose sum is σ = 147384. Its totient is φ = 16384.

The previous prime is 52223. The next prime is 52237. The reversal of 52224 is 42225.

Adding to 52224 its reverse (42225), we get a palindrome (94449).

Subtracting from 52224 its reverse (42225), we obtain a palindrome (9999).

It can be divided in two parts, 52 and 224, that added together give a triangular number (276 = T23).

52224 = T67 + T68 + ... + T84.

Its product of digits (160) is a multiple of the sum of its prime factors (40).

It is a nialpdrome in base 16.

It is a zygodrome in base 2 and base 16.

It is not an unprimeable number, because it can be changed into a prime (52223) by changing a digit.

In principle, a polygon with 52224 sides can be constructed with ruler and compass.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3064 + ... + 3080.

252224 is an apocalyptic number.

52224 is a droll number since its even prime factors and its odd prime factors have the same sum.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 52224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73692).

52224 is an abundant number, since it is smaller than the sum of its proper divisors (95160).

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

52224 is a wasteful number, since it uses less digits than its factorization.

52224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40 (or 22 counting only the distinct ones).

The product of its digits is 160, while the sum is 15.

The square root of 52224 is about 228.5257097134. The cubic root of 52224 is about 37.3786298268.

The spelling of 52224 in words is "fifty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 17 24 32 34 48 51 64 68 96 102 128 136 192 204 256 272 384 408 512 544 768 816 1024 1088 1536 1632 2176 3072 3264 4352 6528 8704 13056 17408 26112 52224