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85569330 = 235711172179
BaseRepresentation
bin1010001100110…
…10111100110010
312222000101001110
411012122330302
5133401204310
612254014150
72056220160
oct506327462
9188011043
1085569330
1144335560
12247a7356
1314960352
14b516230
1577a3d20
hex519af32

85569330 has 128 divisors (see below), whose sum is σ = 271226880. Its totient is φ = 16727040.

The previous prime is 85569329. The next prime is 85569371. The reversal of 85569330 is 3396558.

It is a super-2 number, since 2×855693302 = 14644220473297800, which contains 22 as substring.

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, 38181 + ... + 40359.

It is an arithmetic number, because the mean of its divisors is an integer number (2118960).

Almost surely, 285569330 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85569330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (135613440).

85569330 is an abundant number, since it is smaller than the sum of its proper divisors (185657550).

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

85569330 is a wasteful number, since it uses less digits than its factorization.

85569330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224.

The product of its (nonzero) digits is 97200, while the sum is 39.

The square root of 85569330 is about 9250.3691818219. The cubic root of 85569330 is about 440.6624491082.

The spelling of 85569330 in words is "eighty-five million, five hundred sixty-nine thousand, three hundred thirty".

Divisors: 1 2 3 5 6 7 10 11 14 15 17 21 22 30 33 34 35 42 51 55 66 70 77 85 102 105 110 119 154 165 170 187 210 231 238 255 330 357 374 385 462 510 561 595 714 770 935 1122 1155 1190 1309 1785 1870 2179 2310 2618 2805 3570 3927 4358 5610 6537 6545 7854 10895 13074 13090 15253 19635 21790 23969 30506 32685 37043 39270 45759 47938 65370 71907 74086 76265 91518 111129 119845 143814 152530 167783 185215 222258 228795 239690 259301 335566 359535 370430 407473 457590 503349 518602 555645 719070 777903 814946 838915 1006698 1111290 1222419 1296505 1555806 1677830 2037365 2444838 2516745 2593010 2852311 3889515 4074730 5033490 5704622 6112095 7779030 8556933 12224190 14261555 17113866 28523110 42784665 85569330