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165214500 = 2235311171931
BaseRepresentation
bin10011101100011…
…11100100100100
3102111212202200120
421312033210210
5314243331000
624221041540
74044204633
oct1166174444
9374782616
10165214500
1185294110
12473b62b0
13282c8079
1417d2951a
15e7876a0
hex9d8f924

165214500 has 384 divisors, whose sum is σ = 603832320. Its totient is φ = 34560000.

The previous prime is 165214457. The next prime is 165214501. The reversal of 165214500 is 5412561.

165214500 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165214501) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 5329485 + ... + 5329515.

It is an arithmetic number, because the mean of its divisors is an integer number (1572480).

Almost surely, 2165214500 is an apocalyptic number.

165214500 is a gapful number since it is divisible by the number (10) 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 165214500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301916160).

165214500 is an abundant number, since it is smaller than the sum of its proper divisors (438617820).

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

165214500 is a wasteful number, since it uses less digits than its factorization.

165214500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 88 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 24.

The square root of 165214500 is about 12853.5792680483. The cubic root of 165214500 is about 548.7182272757.

The spelling of 165214500 in words is "one hundred sixty-five million, two hundred fourteen thousand, five hundred".