Search a number
-
+
245232000 = 27325313131
BaseRepresentation
bin11101001110111…
…11000110000000
3122002110002001200
432213133012000
51000234411000
640200101200
76035303046
oct1647370600
9562402050
10245232000
11116477482
126a164800
133ba633c0
14247d8396
15167e1500
hexe9df180

245232000 has 384 divisors, whose sum is σ = 955674720. Its totient is φ = 59904000.

The previous prime is 245231989. The next prime is 245232011. The reversal of 245232000 is 232542.

245232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (245231989) and next prime (245232011).

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1871935 + ... + 1872065.

Almost surely, 2245232000 is an apocalyptic number.

245232000 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 245232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (477837360).

245232000 is an abundant number, since it is smaller than the sum of its proper divisors (710442720).

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

245232000 is a wasteful number, since it uses less digits than its factorization.

245232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 179 (or 154 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 245232000 is about 15659.8850570494. The cubic root of 245232000 is about 625.9299223715.

Adding to 245232000 its reverse (232542), we get a palindrome (245464542).

The spelling of 245232000 in words is "two hundred forty-five million, two hundred thirty-two thousand".