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85198014 = 23311197549
BaseRepresentation
bin1010001010000…
…00010010111110
312221022111201000
411011000102332
5133302314024
612242031130
72053112466
oct505002276
9187274630
1085198014
1144101590
12246484a6
1314860335
14b45aba6
15772dcc9
hex51404be

85198014 has 64 divisors (see below), whose sum is σ = 217440000. Its totient is φ = 24455520.

The previous prime is 85197991. The next prime is 85198031. The reversal of 85198014 is 41089158.

It is a self number, because there is not a number n which added to its sum of digits gives 85198014.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 7512 + ... + 15060.

It is an arithmetic number, because the mean of its divisors is an integer number (3397500).

Almost surely, 285198014 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85198014, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108720000).

85198014 is an abundant number, since it is smaller than the sum of its proper divisors (132241986).

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

85198014 is a wasteful number, since it uses less digits than its factorization.

85198014 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7590 (or 7584 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 36.

The square root of 85198014 is about 9230.2770272620. The cubic root of 85198014 is about 440.0241274648.

The spelling of 85198014 in words is "eighty-five million, one hundred ninety-eight thousand, fourteen".

Divisors: 1 2 3 6 9 11 18 19 22 27 33 38 54 57 66 99 114 171 198 209 297 342 418 513 594 627 1026 1254 1881 3762 5643 7549 11286 15098 22647 45294 67941 83039 135882 143431 166078 203823 249117 286862 407646 430293 498234 747351 860586 1290879 1494702 1577741 2242053 2581758 3155482 3872637 4484106 4733223 7745274 9466446 14199669 28399338 42599007 85198014