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60228 = 22327239
BaseRepresentation
bin1110101101000100
310001121200
432231010
53411403
61142500
7340410
oct165504
9101550
1060228
1141283
122aa30
132154c
1417d40
1512ca3
hexeb44

60228 has 36 divisors (see below), whose sum is σ = 174720. Its totient is φ = 17136.

The previous prime is 60223. The next prime is 60251. The reversal of 60228 is 82206.

60228 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nialpdrome in base 16.

It is a self number, because there is not a number n which added to its sum of digits gives 60228.

It is not an unprimeable number, because it can be changed into a prime (60223) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 133 + ... + 371.

260228 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 60228, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (87360).

60228 is an abundant number, since it is smaller than the sum of its proper divisors (114492).

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

60228 is a wasteful number, since it uses less digits than its factorization.

60228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 256 (or 251 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 60228 is about 245.4139360346. The cubic root of 60228 is about 39.1982020555.

It can be divided in two parts, 602 and 28, that added together give a triangular number (630 = T35).

The spelling of 60228 in words is "sixty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 239 252 478 717 956 1434 1673 2151 2868 3346 4302 5019 6692 8604 10038 15057 20076 30114 60228