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1005228 = 223273989
BaseRepresentation
bin11110101011010101100
31220001220200
43311122230
5224131403
633313500
711354460
oct3653254
91801820
101005228
11627274
12405890
13292713
141c24a0
1514cca3
hexf56ac

1005228 has 36 divisors (see below), whose sum is σ = 2904720. Its totient is φ = 287136.

The previous prime is 1005223. The next prime is 1005229. The reversal of 1005228 is 8225001.

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 self number, because there is not a number n which added to its sum of digits gives 1005228.

It is not an unprimeable number, because it can be changed into a prime (1005223) 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, 1743 + ... + 2246.

21005228 is an apocalyptic number.

1005228 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1005228 is an abundant number, since it is smaller than the sum of its proper divisors (1899492).

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

1005228 is a wasteful number, since it uses less digits than its factorization.

1005228 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4006 (or 4001 counting only the distinct ones).

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

The square root of 1005228 is about 1002.6105924037. The cubic root of 1005228 is about 100.1739638569.

The spelling of 1005228 in words is "one million, five thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 63 84 126 252 3989 7978 11967 15956 23934 27923 35901 47868 55846 71802 83769 111692 143604 167538 251307 335076 502614 1005228