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85060224 = 2732471571
BaseRepresentation
bin1010001000111…
…10101010000000
312221001111200200
411010132222000
5133233411344
612235045200
72051666664
oct504365200
9187044620
1085060224
1144018007
12245a0800
13148126c2
14b4228a4
157703069
hex511ea80

85060224 has 96 divisors (see below), whose sum is σ = 250136640. Its totient is φ = 27732480.

The previous prime is 85060223. The next prime is 85060229. The reversal of 85060224 is 42206058.

85060224 is a `hidden beast` number, since 8 + 50 + 602 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is not an unprimeable number, because it can be changed into a prime (85060223) 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, 53359 + ... + 54929.

It is an arithmetic number, because the mean of its divisors is an integer number (2605590).

Almost surely, 285060224 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 85060224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (125068320).

85060224 is an abundant number, since it is smaller than the sum of its proper divisors (165076416).

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

85060224 is a wasteful number, since it uses less digits than its factorization.

85060224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1638 (or 1623 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 85060224 is about 9222.8099839474. The cubic root of 85060224 is about 439.7867837482.

The spelling of 85060224 in words is "eighty-five million, sixty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 47 48 64 72 94 96 128 141 144 188 192 282 288 376 384 423 564 576 752 846 1128 1152 1504 1571 1692 2256 3008 3142 3384 4512 4713 6016 6284 6768 9024 9426 12568 13536 14139 18048 18852 25136 27072 28278 37704 50272 54144 56556 73837 75408 100544 113112 147674 150816 201088 221511 226224 295348 301632 443022 452448 590696 603264 664533 886044 904896 1181392 1329066 1772088 1809792 2362784 2658132 3544176 4725568 5316264 7088352 9451136 10632528 14176704 21265056 28353408 42530112 85060224