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85225560 = 23357711429
BaseRepresentation
bin1010001010001…
…11000001011000
312221100220111020
411011013001120
5133304204220
612242402440
72053256010
oct505070130
9187326436
1085225560
1144120252
1224660420
131486ca34
14b466c40
157737040
hex5147058

85225560 has 128 divisors (see below), whose sum is σ = 296524800. Its totient is φ = 19192320.

The previous prime is 85225513. The next prime is 85225571. The reversal of 85225560 is 6552258.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 58926 + ... + 60354.

It is an arithmetic number, because the mean of its divisors is an integer number (2316600).

Almost surely, 285225560 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 85225560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148262400).

85225560 is an abundant number, since it is smaller than the sum of its proper divisors (211299240).

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

85225560 is a wasteful number, since it uses less digits than its factorization.

85225560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1521 (or 1517 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 33.

The square root of 85225560 is about 9231.7690612363. The cubic root of 85225560 is about 440.0715448399.

The spelling of 85225560 in words is "eighty-five million, two hundred twenty-five thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 20 21 24 28 30 35 40 42 56 60 70 71 84 105 120 140 142 168 210 213 280 284 355 420 426 497 568 710 840 852 994 1065 1420 1429 1491 1704 1988 2130 2485 2840 2858 2982 3976 4260 4287 4970 5716 5964 7145 7455 8520 8574 9940 10003 11432 11928 14290 14910 17148 19880 20006 21435 28580 29820 30009 34296 40012 42870 50015 57160 59640 60018 80024 85740 100030 101459 120036 150045 171480 200060 202918 240072 300090 304377 400120 405836 507295 600180 608754 710213 811672 1014590 1200360 1217508 1420426 1521885 2029180 2130639 2435016 2840852 3043770 3551065 4058360 4261278 5681704 6087540 7102130 8522556 10653195 12175080 14204260 17045112 21306390 28408520 42612780 85225560