Search a number
-
+
164882250 = 23353131879
BaseRepresentation
bin10011101001111…
…10011101001010
3102111020212221000
421310332131022
5314202213000
624205555430
74041322161
oct1164763512
9374225830
10164882250
1185087525
1247275b76
132820ca80
1417c803d8
15e71e000
hex9d3e74a

164882250 has 128 divisors (see below), whose sum is σ = 492710400. Its totient is φ = 40564800.

The previous prime is 164882231. The next prime is 164882257. The reversal of 164882250 is 52288461.

164882250 is a `hidden beast` number, since 1 + 648 + 8 + 2 + 2 + 5 + 0 = 666.

164882250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is not an unprimeable number, because it can be changed into a prime (164882257) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 86811 + ... + 88689.

It is an arithmetic number, because the mean of its divisors is an integer number (3849300).

Almost surely, 2164882250 is an apocalyptic number.

164882250 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 164882250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246355200).

164882250 is an abundant number, since it is smaller than the sum of its proper divisors (327828150).

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

164882250 is a wasteful number, since it uses less digits than its factorization.

164882250 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1918 (or 1902 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 164882250 is about 12840.6483481170. The cubic root of 164882250 is about 548.3501522810.

The spelling of 164882250 in words is "one hundred sixty-four million, eight hundred eighty-two thousand, two hundred fifty".

Divisors: 1 2 3 5 6 9 10 13 15 18 25 26 27 30 39 45 50 54 65 75 78 90 117 125 130 135 150 195 225 234 250 270 325 351 375 390 450 585 650 675 702 750 975 1125 1170 1350 1625 1755 1879 1950 2250 2925 3250 3375 3510 3758 4875 5637 5850 6750 8775 9395 9750 11274 14625 16911 17550 18790 24427 28185 29250 33822 43875 46975 48854 50733 56370 73281 84555 87750 93950 101466 122135 140925 146562 169110 219843 234875 244270 253665 281850 366405 422775 439686 469750 507330 610675 659529 704625 732810 845550 1099215 1221350 1268325 1319058 1409250 1832025 2113875 2198430 2536650 3053375 3297645 3664050 4227750 5496075 6106750 6341625 6595290 9160125 10992150 12683250 16488225 18320250 27480375 32976450 54960750 82441125 164882250