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85030200 = 23325297487
BaseRepresentation
bin1010001000101…
…11010100111000
312220222222111200
411010113110320
5133231431300
612234254200
72051513313
oct504272470
9186888450
1085030200
1143aa74a2
1224587360
1314801b38
14b41597a
1576e9200
hex5117538

85030200 has 144 divisors (see below), whose sum is σ = 289096080. Its totient is φ = 22394880.

The previous prime is 85030193. The next prime is 85030217. The reversal of 85030200 is 203058.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 174357 + ... + 174843.

Almost surely, 285030200 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 85030200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144548040).

85030200 is an abundant number, since it is smaller than the sum of its proper divisors (204065880).

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

85030200 is a wasteful number, since it uses less digits than its factorization.

85030200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 594 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 85030200 is about 9221.1821367979. The cubic root of 85030200 is about 439.7350333073.

Adding to 85030200 its reverse (203058), we get a palindrome (85233258).

The spelling of 85030200 in words is "eighty-five million, thirty thousand, two hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 72 75 90 97 100 120 150 180 194 200 225 291 300 360 388 450 485 487 582 600 776 873 900 970 974 1164 1455 1461 1746 1800 1940 1948 2328 2425 2435 2910 2922 3492 3880 3896 4365 4383 4850 4870 5820 5844 6984 7275 7305 8730 8766 9700 9740 11640 11688 12175 14550 14610 17460 17532 19400 19480 21825 21915 24350 29100 29220 34920 35064 36525 43650 43830 47239 48700 58200 58440 73050 87300 87660 94478 97400 109575 141717 146100 174600 175320 188956 219150 236195 283434 292200 377912 425151 438300 472390 566868 708585 850302 876600 944780 1133736 1180975 1417170 1700604 1889560 2125755 2361950 2834340 3401208 3542925 4251510 4723900 5668680 7085850 8503020 9447800 10628775 14171700 17006040 21257550 28343400 42515100 85030200