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85830228 = 223211216743
BaseRepresentation
bin1010001110110…
…10101001010100
312222111121221100
411013122221110
5133433031403
612303350100
72061354621
oct507325124
9188447840
1085830228
11444a3580
12248b2330
1314a22023
14b583348
1578062a3
hex51daa54

85830228 has 36 divisors (see below), whose sum is σ = 236684448. Its totient is φ = 26009040.

The previous prime is 85830223. The next prime is 85830259. The reversal of 85830228 is 82203858.

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 (36).

It is a junction number, because it is equal to n+sod(n) for n = 85830192 and 85830201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85830223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 107976 + ... + 108767.

It is an arithmetic number, because the mean of its divisors is an integer number (6574568).

Almost surely, 285830228 is an apocalyptic number.

It is an amenable number.

85830228 is an abundant number, since it is smaller than the sum of its proper divisors (150854220).

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

85830228 is a wasteful number, since it uses less digits than its factorization.

85830228 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216764 (or 216759 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 85830228 is about 9264.4604807835. The cubic root of 85830228 is about 441.1098496924.

The spelling of 85830228 in words is "eighty-five million, eight hundred thirty thousand, two hundred twenty-eight".

Divisors: 1 2 3 4 6 9 11 12 18 22 33 36 44 66 99 132 198 396 216743 433486 650229 866972 1300458 1950687 2384173 2600916 3901374 4768346 7152519 7802748 9536692 14305038 21457557 28610076 42915114 85830228