Search a number
-
+
166520200 = 23527112983
BaseRepresentation
bin10011110110011…
…10010110001000
3102121100002202211
421323032112020
5320112121300
624305034504
74061253430
oct1173162610
9377302684
10166520200
1185aa6100
1247925a34
1328664482
14181892c0
15e9444ba
hex9ece588

166520200 has 144 divisors (see below), whose sum is σ = 486843840. Its totient is φ = 51849600.

The previous prime is 166520173. The next prime is 166520213. The reversal of 166520200 is 2025661.

166520200 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

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, 168909 + ... + 169891.

It is an arithmetic number, because the mean of its divisors is an integer number (3380860).

Almost surely, 2166520200 is an apocalyptic number.

166520200 is a gapful number since it is divisible by the number (10) 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 166520200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243421920).

166520200 is an abundant number, since it is smaller than the sum of its proper divisors (320323640).

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

166520200 is a wasteful number, since it uses less digits than its factorization.

166520200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1028 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 720, while the sum is 22.

The square root of 166520200 is about 12904.2706109257. The cubic root of 166520200 is about 550.1599534771.

Adding to 166520200 its reverse (2025661), we get a palindrome (168545861).

The spelling of 166520200 in words is "one hundred sixty-six million, five hundred twenty thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 11 14 20 22 25 28 35 40 44 50 55 56 70 77 88 100 110 121 140 154 175 200 220 242 275 280 308 350 385 440 484 550 605 616 700 770 847 968 983 1100 1210 1400 1540 1694 1925 1966 2200 2420 3025 3080 3388 3850 3932 4235 4840 4915 6050 6776 6881 7700 7864 8470 9830 10813 12100 13762 15400 16940 19660 21175 21626 24200 24575 27524 33880 34405 39320 42350 43252 49150 54065 55048 68810 75691 84700 86504 98300 108130 118943 137620 151382 169400 172025 196600 216260 237886 270325 275240 302764 344050 378455 432520 475772 540650 594715 605528 688100 756910 832601 951544 1081300 1189430 1376200 1513820 1665202 1892275 2162600 2378860 2973575 3027640 3330404 3784550 4163005 4757720 5947150 6660808 7569100 8326010 11894300 15138200 16652020 20815025 23788600 33304040 41630050 83260100 166520200