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164250150 = 23521497349
BaseRepresentation
bin10011100101001…
…00001000100110
3102110001202211220
421302210020212
5314022001100
624144241210
74033050261
oct1162441046
9373052756
10164250150
1184795629
1247010206
132804b14c
1417b57cd8
15e646aa0
hex9ca4226

164250150 has 48 divisors (see below), whose sum is σ = 410130000. Its totient is φ = 43500160.

The previous prime is 164250089. The next prime is 164250157. The reversal of 164250150 is 51052461.

164250150 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×1642501502 = 53956223550045000, which contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 164250150.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164250157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 18676 + ... + 26024.

It is an arithmetic number, because the mean of its divisors is an integer number (8544375).

Almost surely, 2164250150 is an apocalyptic number.

164250150 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 164250150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205065000).

164250150 is an abundant number, since it is smaller than the sum of its proper divisors (245879850).

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

164250150 is a wasteful number, since it uses less digits than its factorization.

164250150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7513 (or 7508 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 164250150 is about 12816.0114700323. The cubic root of 164250150 is about 547.6485283316.

The spelling of 164250150 in words is "one hundred sixty-four million, two hundred fifty thousand, one hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 75 149 150 298 447 745 894 1490 2235 3725 4470 7349 7450 11175 14698 22047 22350 36745 44094 73490 110235 183725 220470 367450 551175 1095001 1102350 2190002 3285003 5475005 6570006 10950010 16425015 27375025 32850030 54750050 82125075 164250150