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150234066 = 232171014861
BaseRepresentation
bin10001111010001…
…10001111010010
3101110200200101200
420331012033102
5301424442231
622524012030
73502653123
oct1075061722
9343620350
10150234066
1177892094
1242391016
13251815c8
1415d4a04a
15d2c8be6
hex8f463d2

150234066 has 48 divisors (see below), whose sum is σ = 348138648. Its totient is φ = 46656000.

The previous prime is 150234061. The next prime is 150234107. The reversal of 150234066 is 660432051.

150234066 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 137381841 + 12852225 = 11721^2 + 3585^2 .

It is not an unprimeable number, because it can be changed into a prime (150234061) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 28476 + ... + 33336.

Almost surely, 2150234066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 150234066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174069324).

150234066 is an abundant number, since it is smaller than the sum of its proper divisors (197904582).

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

150234066 is a wasteful number, since it uses less digits than its factorization.

150234066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4987 (or 4984 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 150234066 is about 12257.0006934813. Note that the first 3 decimals coincide. The cubic root of 150234066 is about 531.6055101196.

The spelling of 150234066 in words is "one hundred fifty million, two hundred thirty-four thousand, sixty-six".

Divisors: 1 2 3 6 9 17 18 34 51 101 102 153 202 303 306 606 909 1717 1818 3434 4861 5151 9722 10302 14583 15453 29166 30906 43749 82637 87498 165274 247911 490961 495822 743733 981922 1472883 1487466 2945766 4418649 8346337 8837298 16692674 25039011 50078022 75117033 150234066