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85985022900 = 22352778752027
BaseRepresentation
bin101000000010100011…
…0110101001110110100
322012221102222201221210
41100011012311032310
52402044131213100
6103300113241420
76132534430650
oct1200506651664
9265842881853
1085985022900
11335143383a7
12147b8263270
13815408879a
1442399a9a60
152383b48c50
hex14051b53b4

85985022900 has 144 divisors (see below), whose sum is σ = 284690556416. Its totient is φ = 19628369280.

The previous prime is 85985022863. The next prime is 85985022901. The reversal of 85985022900 is 922058958.

It is a super-2 number, since 2×859850229002 (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85985022900.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (85985022901) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1626687 + ... + 1678713.

Almost surely, 285985022900 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 85985022900, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142345278208).

85985022900 is an abundant number, since it is smaller than the sum of its proper divisors (198705533516).

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

85985022900 is a wasteful number, since it uses less digits than its factorization.

85985022900 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52838 (or 52831 counting only the distinct ones).

The product of its (nonzero) digits is 518400, while the sum is 48.

The spelling of 85985022900 in words is "eighty-five billion, nine hundred eighty-five million, twenty-two thousand, nine hundred".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 25 28 30 35 42 50 60 70 75 84 100 105 140 150 175 210 300 350 420 525 700 787 1050 1574 2100 2361 3148 3935 4722 5509 7870 9444 11018 11805 15740 16527 19675 22036 23610 27545 33054 39350 47220 52027 55090 59025 66108 78700 82635 104054 110180 118050 137725 156081 165270 208108 236100 260135 275450 312162 330540 364189 413175 520270 550900 624324 728378 780405 826350 1040540 1092567 1300675 1456756 1560810 1652700 1820945 2185134 2601350 3121620 3641890 3902025 4370268 5202700 5462835 7283780 7804050 9104725 10925670 15608100 18209450 21851340 27314175 36418900 40945249 54628350 81890498 109256700 122835747 163780996 204726245 245671494 286616743 409452490 491342988 573233486 614178735 818904980 859850229 1023631225 1146466972 1228357470 1433083715 1719700458 2047262450 2456714940 2866167430 3070893675 3439400916 4094524900 4299251145 5732334860 6141787350 7165418575 8598502290 12283574700 14330837150 17197004580 21496255725 28661674300 42992511450 85985022900