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85422000 = 2435323619
BaseRepresentation
bin1010001011101…
…10111110110000
312221201212221210
411011312332300
5133332001000
612250520120
72055034506
oct505667660
9187655853
1085422000
11442448a4
1224736040
131490b281
14b4b8676
157775350
hex5176fb0

85422000 has 160 divisors (see below), whose sum is σ = 287838720. Its totient is φ = 21753600.

The previous prime is 85421981. The next prime is 85422013. The reversal of 85422000 is 22458.

It is a nialpdrome in base 10.

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, 137691 + ... + 138309.

It is an arithmetic number, because the mean of its divisors is an integer number (1798992).

Almost surely, 285422000 is an apocalyptic number.

85422000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 85422000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (143919360).

85422000 is an abundant number, since it is smaller than the sum of its proper divisors (202416720).

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

85422000 is a wasteful number, since it uses less digits than its factorization.

85422000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 640, while the sum is 21.

The square root of 85422000 is about 9242.4022851205. The cubic root of 85422000 is about 440.4093985707.

Adding to 85422000 its reverse (22458), we get a palindrome (85444458).

The spelling of 85422000 in words is "eighty-five million, four hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 25 30 40 46 48 50 60 69 75 80 92 100 115 120 125 138 150 184 200 230 240 250 276 300 345 368 375 400 460 500 552 575 600 619 690 750 920 1000 1104 1150 1200 1238 1380 1500 1725 1840 1857 2000 2300 2476 2760 2875 3000 3095 3450 3714 4600 4952 5520 5750 6000 6190 6900 7428 8625 9200 9285 9904 11500 12380 13800 14237 14856 15475 17250 18570 23000 24760 27600 28474 29712 30950 34500 37140 42711 46000 46425 49520 56948 61900 69000 71185 74280 77375 85422 92850 113896 123800 138000 142370 148560 154750 170844 185700 213555 227792 232125 247600 284740 309500 341688 355925 371400 427110 464250 569480 619000 683376 711850 742800 854220 928500 1067775 1138960 1238000 1423700 1708440 1779625 1857000 2135550 2847400 3416880 3559250 3714000 4271100 5338875 5694800 7118500 8542200 10677750 14237000 17084400 21355500 28474000 42711000 85422000