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164141250 = 2354713237
BaseRepresentation
bin10011100100010…
…01100011000010
3102102212020110120
421302021203002
5314010010000
624142041110
74032114630
oct1162114302
9372766416
10164141250
1184720829
1246b79196
1328010700
1417b2a350
15e6246a0
hex9c898c2

164141250 has 240 divisors, whose sum is σ = 521383104. Its totient is φ = 33696000.

The previous prime is 164141233. The next prime is 164141251. The reversal of 164141250 is 52141461.

It is a happy number.

164141250 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 164141250.

It is not an unprimeable number, because it can be changed into a prime (164141251) 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 119 ways as a sum of consecutive naturals, for example, 4436232 + ... + 4436268.

Almost surely, 2164141250 is an apocalyptic number.

164141250 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 164141250, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260691552).

164141250 is an abundant number, since it is smaller than the sum of its proper divisors (357241854).

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

164141250 is a wasteful number, since it uses less digits than its factorization.

164141250 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 95 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 164141250 is about 12811.7621738776. The cubic root of 164141250 is about 547.5274688581.

The spelling of 164141250 in words is "one hundred sixty-four million, one hundred forty-one thousand, two hundred fifty".