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166106250 = 232552953
BaseRepresentation
bin10011110011010…
…01010010001010
3102120120001221100
421321221102022
5320010400000
624252122230
74054610532
oct1171512212
9376501840
10166106250
11858430a2
1247766376
132854ac2b
14180bc4c2
15e8b1a00
hex9e6948a

166106250 has 72 divisors (see below), whose sum is σ = 449994636. Its totient is φ = 44280000.

The previous prime is 166106231. The next prime is 166106257. The reversal of 166106250 is 52601661.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 5602689 + 160503561 = 2367^2 + 12669^2 .

It is not an unprimeable number, because it can be changed into a prime (166106257) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 54774 + ... + 57726.

Almost surely, 2166106250 is an apocalyptic number.

166106250 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 166106250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224997318).

166106250 is an abundant number, since it is smaller than the sum of its proper divisors (283888386).

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

166106250 is an equidigital number, since it uses as much as digits as its factorization.

166106250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2986 (or 2963 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 166106250 is about 12888.2213668140. The cubic root of 166106250 is about 549.7036971500.

The spelling of 166106250 in words is "one hundred sixty-six million, one hundred six thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 30 45 50 75 90 125 150 225 250 375 450 625 750 1125 1250 1875 2250 2953 3125 3750 5625 5906 6250 8859 9375 11250 14765 17718 18750 26577 28125 29530 44295 53154 56250 73825 88590 132885 147650 221475 265770 369125 442950 664425 738250 1107375 1328850 1845625 2214750 3322125 3691250 5536875 6644250 9228125 11073750 16610625 18456250 27684375 33221250 55368750 83053125 166106250