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164139822 = 2327111923271
BaseRepresentation
bin10011100100010…
…01001100101110
3102102212011111200
421302021030232
5314004433242
624142030330
74032110520
oct1162111456
9372764450
10164139822
118471a750
1246b783a6
132800cb72
1417b29a10
15e62404c
hex9c8932e

164139822 has 192 divisors, whose sum is σ = 488816640. Its totient is φ = 38491200.

The previous prime is 164139821. The next prime is 164139853. The reversal of 164139822 is 228931461.

164139822 is a `hidden beast` number, since 1 + 641 + 3 + 9 + 8 + 2 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (164139821) 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 95 ways as a sum of consecutive naturals, for example, 605547 + ... + 605817.

It is an arithmetic number, because the mean of its divisors is an integer number (2545920).

Almost surely, 2164139822 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 164139822, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244408320).

164139822 is an abundant number, since it is smaller than the sum of its proper divisors (324676818).

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

164139822 is a wasteful number, since it uses less digits than its factorization.

164139822 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 336 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 164139822 is about 12811.7064437178. The cubic root of 164139822 is about 547.5258810559.

The spelling of 164139822 in words is "one hundred sixty-four million, one hundred thirty-nine thousand, eight hundred twenty-two".