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166323144 = 23313601887
BaseRepresentation
bin10011110100111…
…10001111001000
3102120222002110110
421322132033020
5320034320034
624300514320
74056503061
oct1172361710
9376862413
10166323144
1185981049
124784b9a0
13285c5880
1418137568
15e905de9
hex9e9e3c8

166323144 has 64 divisors (see below), whose sum is σ = 449043840. Its totient is φ = 51033600.

The previous prime is 166323133. The next prime is 166323161. The reversal of 166323144 is 441323661.

166323144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 187069 + ... + 187955.

It is an arithmetic number, because the mean of its divisors is an integer number (7016310).

Almost surely, 2166323144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 166323144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224521920).

166323144 is an abundant number, since it is smaller than the sum of its proper divisors (282720696).

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

166323144 is a wasteful number, since it uses less digits than its factorization.

166323144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1510 (or 1506 counting only the distinct ones).

The product of its digits is 10368, while the sum is 30.

The square root of 166323144 is about 12896.6330489783. The cubic root of 166323144 is about 549.9428524645.

The spelling of 166323144 in words is "one hundred sixty-six million, three hundred twenty-three thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 13 24 26 39 52 78 104 156 312 601 887 1202 1774 1803 2404 2661 3548 3606 4808 5322 7096 7212 7813 10644 11531 14424 15626 21288 23062 23439 31252 34593 46124 46878 62504 69186 92248 93756 138372 187512 276744 533087 1066174 1599261 2132348 3198522 4264696 6397044 6930131 12794088 13860262 20790393 27720524 41580786 55441048 83161572 166323144