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85229568 = 21532172
BaseRepresentation
bin1010001010010…
…00000000000000
312221101002222200
411011020000000
5133304321233
612242433200
72053303464
oct505100000
9187332880
1085229568
1144123266
1224662800
13148717c8
14b4684a4
157738313
hex5148000

85229568 has 144 divisors (see below), whose sum is σ = 261550185. Its totient is φ = 26738688.

The previous prime is 85229567. The next prime is 85229581. The reversal of 85229568 is 86592258.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

85229568 is a `hidden beast` number, since 85 + 2 + 2 + 9 + 568 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 78004224 + 7225344 = 8832^2 + 2688^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is an ABA number since it can be written as A⋅BA, here for A=2, B=6528.

It is a super-2 number, since 2×852295682 = 14528158522933248, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (85229563) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 5013496 + ... + 5013512.

Almost surely, 285229568 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 85229568

85229568 is an abundant number, since it is smaller than the sum of its proper divisors (176320617).

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

85229568 is an equidigital number, since it uses as much as digits as its factorization.

85229568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70 (or 22 counting only the distinct ones).

The product of its digits is 345600, while the sum is 45.

The square root of 85229568 is about 9231.9861351716. The cubic root of 85229568 is about 440.0784433145.

The spelling of 85229568 in words is "eighty-five million, two hundred twenty-nine thousand, five hundred sixty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 64 68 72 96 102 128 136 144 153 192 204 256 272 288 289 306 384 408 512 544 576 578 612 768 816 867 1024 1088 1152 1156 1224 1536 1632 1734 2048 2176 2304 2312 2448 2601 3072 3264 3468 4096 4352 4608 4624 4896 5202 6144 6528 6936 8192 8704 9216 9248 9792 10404 12288 13056 13872 16384 17408 18432 18496 19584 20808 24576 26112 27744 32768 34816 36864 36992 39168 41616 49152 52224 55488 69632 73728 73984 78336 83232 98304 104448 110976 139264 147456 147968 156672 166464 208896 221952 278528 294912 295936 313344 332928 417792 443904 557056 591872 626688 665856 835584 887808 1183744 1253376 1331712 1671168 1775616 2367488 2506752 2663424 3551232 4734976 5013504 5326848 7102464 9469952 10653696 14204928 21307392 28409856 42614784 85229568