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85223216 = 24133113217
BaseRepresentation
bin1010001010001…
…10011100110000
312221100210021102
411011012130300
5133304120331
612242343532
72053246121
oct505063460
9187323242
1085223216
1144119511
122465aba8
131486b950
14b466048
1577364cb
hex5146730

85223216 has 40 divisors (see below), whose sum is σ = 183571584. Its totient is φ = 38062080.

The previous prime is 85223213. The next prime is 85223219. The reversal of 85223216 is 61232258.

It is an interprime number because it is at equal distance from previous prime (85223213) and next prime (85223219).

It is not an unprimeable number, because it can be changed into a prime (85223213) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 161 + ... + 13056.

Almost surely, 285223216 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 85223216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (91785792).

85223216 is an abundant number, since it is smaller than the sum of its proper divisors (98348368).

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

85223216 is a wasteful number, since it uses less digits than its factorization.

85223216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13269 (or 13263 counting only the distinct ones).

The product of its digits is 5760, while the sum is 29.

The square root of 85223216 is about 9231.6421074476. The cubic root of 85223216 is about 440.0675103024.

The spelling of 85223216 in words is "eighty-five million, two hundred twenty-three thousand, two hundred sixteen".

Divisors: 1 2 4 8 13 16 26 31 52 62 104 124 208 248 403 496 806 1612 3224 6448 13217 26434 52868 105736 171821 211472 343642 409727 687284 819454 1374568 1638908 2749136 3277816 5326451 6555632 10652902 21305804 42611608 85223216