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85609230 = 23574161163
BaseRepresentation
bin1010001101001…
…00101100001110
312222002101210020
411012210230032
5133403443410
612254523010
72056444410
oct506445416
9188071706
1085609230
1144362533
1224806466
1314975565
14b5269b0
1577b0a70
hex51a4b0e

85609230 has 128 divisors (see below), whose sum is σ = 245984256. Its totient is φ = 18662400.

The previous prime is 85609213. The next prime is 85609253. The reversal of 85609230 is 3290658.

It is a happy number.

It is a super-2 number, since 2×856092302 = 14657880522385800, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 85609191 and 85609200.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 525129 + ... + 525291.

It is an arithmetic number, because the mean of its divisors is an integer number (1921752).

Almost surely, 285609230 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85609230, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (122992128).

85609230 is an abundant number, since it is smaller than the sum of its proper divisors (160375026).

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

85609230 is a wasteful number, since it uses less digits than its factorization.

85609230 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282.

The product of its (nonzero) digits is 12960, while the sum is 33.

The square root of 85609230 is about 9252.5256011534. The cubic root of 85609230 is about 440.7309304188.

Adding to 85609230 its reverse (3290658), we get a palindrome (88899888).

The spelling of 85609230 in words is "eighty-five million, six hundred nine thousand, two hundred thirty".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 41 42 61 70 82 105 122 123 163 183 205 210 246 287 305 326 366 410 427 489 574 610 615 815 854 861 915 978 1141 1230 1281 1435 1630 1722 1830 2135 2282 2445 2501 2562 2870 3423 4270 4305 4890 5002 5705 6405 6683 6846 7503 8610 9943 11410 12505 12810 13366 15006 17115 17507 19886 20049 25010 29829 33415 34230 35014 37515 40098 46781 49715 52521 59658 66830 69601 75030 87535 93562 99430 100245 105042 139202 140343 149145 175070 200490 208803 233905 262605 280686 298290 348005 407663 417606 467810 525210 696010 701715 815326 1044015 1222989 1403430 2038315 2088030 2445978 2853641 4076630 5707282 6114945 8560923 12229890 14268205 17121846 28536410 42804615 85609230