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85223820 = 223511129127
BaseRepresentation
bin1010001010001…
…10100110001100
312221100211002210
411011012212030
5133304130240
612242350420
72053250643
oct505064614
9187324083
1085223820
1144119a10
122465b410
131486bcc6
14b46635a
157736780
hex514698c

85223820 has 48 divisors (see below), whose sum is σ = 260322048. Its totient is φ = 20660160.

The previous prime is 85223813. The next prime is 85223833. The reversal of 85223820 is 2832258.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63904 + ... + 65223.

It is an arithmetic number, because the mean of its divisors is an integer number (5423376).

Almost surely, 285223820 is an apocalyptic number.

It is an amenable number.

85223820 is an abundant number, since it is smaller than the sum of its proper divisors (175098228).

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

85223820 is a wasteful number, since it uses less digits than its factorization.

85223820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129150 (or 129148 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 30.

The square root of 85223820 is about 9231.6748209629. The cubic root of 85223820 is about 440.0685499258.

It can be divided in two parts, 852238 and 20, that added together give a palindrome (852258).

The spelling of 85223820 in words is "eighty-five million, two hundred twenty-three thousand, eight hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 129127 258254 387381 516508 645635 774762 1291270 1420397 1549524 1936905 2582540 2840794 3873810 4261191 5681588 7101985 7747620 8522382 14203970 17044764 21305955 28407940 42611910 85223820