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85022720 = 211519223
BaseRepresentation
bin1010001000101…
…01100000000000
312220222121020122
411010111200000
5133231211340
612234155412
72051452436
oct504254000
9186877218
1085022720
1143aa1912
1224582b68
13147cb603
14b412d56
1576e6db5
hex5115800

85022720 has 144 divisors (see below), whose sum is σ = 224668080. Its totient is φ = 30818304.

The previous prime is 85022699. The next prime is 85022737. The reversal of 85022720 is 2722058.

It is a super-4 number, since 4×850227204 (a number of 33 digits) contains 4444 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 85022720.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3696629 + ... + 3696651.

It is an arithmetic number, because the mean of its divisors is an integer number (1560195).

Almost surely, 285022720 is an apocalyptic number.

85022720 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 85022720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112334040).

85022720 is an abundant number, since it is smaller than the sum of its proper divisors (139645360).

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

85022720 is a wasteful number, since it uses less digits than its factorization.

85022720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 49 counting only the distinct ones).

The product of its (nonzero) digits is 2240, while the sum is 26.

The square root of 85022720 is about 9220.7765399667. The cubic root of 85022720 is about 439.7221386162.

Adding to 85022720 its reverse (2722058), we get a palindrome (87744778).

The spelling of 85022720 in words is "eighty-five million, twenty-two thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 19 20 23 32 38 40 46 64 76 80 92 95 115 128 152 160 184 190 230 256 304 320 361 368 380 437 460 512 608 640 722 736 760 874 920 1024 1216 1280 1444 1472 1520 1748 1805 1840 2048 2185 2432 2560 2888 2944 3040 3496 3610 3680 4370 4864 5120 5776 5888 6080 6992 7220 7360 8303 8740 9728 10240 11552 11776 12160 13984 14440 14720 16606 17480 19456 23104 23552 24320 27968 28880 29440 33212 34960 38912 41515 46208 47104 48640 55936 57760 58880 66424 69920 83030 92416 97280 111872 115520 117760 132848 139840 166060 184832 194560 223744 231040 235520 265696 279680 332120 369664 447488 462080 531392 559360 664240 739328 894976 924160 1062784 1118720 1328480 1848320 2125568 2237440 2656960 3696640 4251136 4474880 5313920 8502272 10627840 17004544 21255680 42511360 85022720