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23150160 = 24325113779
BaseRepresentation
bin101100001001…
…1111001010000
31121120011001100
41120103321100
521411301120
62144104400
7400526115
oct130237120
947504040
1023150160
1112082070
127905100
134a47227
14310890c
152074490
hex1613e50

23150160 has 240 divisors, whose sum is σ = 88208640. Its totient is φ = 5391360.

The previous prime is 23150147. The next prime is 23150161. The reversal of 23150160 is 6105132.

It is a tau number, because it is divible by the number of its divisors (240).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (23150161) 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 47 ways as a sum of consecutive naturals, for example, 293001 + ... + 293079.

It is an arithmetic number, because the mean of its divisors is an integer number (367536).

Almost surely, 223150160 is an apocalyptic number.

23150160 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 23150160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44104320).

23150160 is an abundant number, since it is smaller than the sum of its proper divisors (65058480).

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

23150160 is a wasteful number, since it uses less digits than its factorization.

23150160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 23150160 is about 4811.4613164817. The cubic root of 23150160 is about 285.0042473975.

Adding to 23150160 its reverse (6105132), we get a palindrome (29255292).

The spelling of 23150160 in words is "twenty-three million, one hundred fifty thousand, one hundred sixty".