Search a number
-
+
165222544032 = 25327137979801
BaseRepresentation
bin1001100111100000000…
…1111111001010100000
3120210110122100212120200
42121320001333022200
510201333432402112
6203522512305200
714636240311050
oct2317001771240
9523418325520
10165222544032
1164085900857
1228030842200
1312771246b70
147dd5385560
154470202cdc
hex267807f2a0

165222544032 has 288 divisors, whose sum is σ = 585606228480. Its totient is φ = 43023052800.

The previous prime is 165222543979. The next prime is 165222544037. The reversal of 165222544032 is 230445222561.

165222544032 is a `hidden beast` number, since 1 + 65 + 2 + 22 + 544 + 0 + 32 = 666.

165222544032 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (165222544037) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2030532 + ... + 2110332.

It is an arithmetic number, because the mean of its divisors is an integer number (2033354960).

Almost surely, 2165222544032 is an apocalyptic number.

165222544032 is a gapful number since it is divisible by the number (12) 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 165222544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292803114240).

165222544032 is an abundant number, since it is smaller than the sum of its proper divisors (420383684448).

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

165222544032 is a wasteful number, since it uses less digits than its factorization.

165222544032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79916 (or 79905 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 36.

Adding to 165222544032 its reverse (230445222561), we get a palindrome (395667766593).

The spelling of 165222544032 in words is "one hundred sixty-five billion, two hundred twenty-two million, five hundred forty-four thousand, thirty-two".