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245029200 = 2435213113139
BaseRepresentation
bin11101001101011…
…01100101010000
3122002001202212120
432212231211100
51000211413300
640151454240
76033466563
oct1646554520
9562052776
10245029200
11116349079
126a087380
133b9c1cc0
14247844da
15167a13a0
hexe9ad950

245029200 has 240 divisors, whose sum is σ = 858903360. Its totient is φ = 59351040.

The previous prime is 245029199. The next prime is 245029231. The reversal of 245029200 is 2920542.

245029200 is digitally balanced in base 2, 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 (240).

It is a Harshad number since it is a multiple of its sum of digits (24).

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, 1762731 + ... + 1762869.

It is an arithmetic number, because the mean of its divisors is an integer number (3578764).

Almost surely, 2245029200 is an apocalyptic number.

245029200 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 245029200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (429451680).

245029200 is an abundant number, since it is smaller than the sum of its proper divisors (613874160).

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

245029200 is a wasteful number, since it uses less digits than its factorization.

245029200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 286 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The square root of 245029200 is about 15653.4085744926. The cubic root of 245029200 is about 625.7573326117.

Adding to 245029200 its reverse (2920542), we get a palindrome (247949742).

The spelling of 245029200 in words is "two hundred forty-five million, twenty-nine thousand, two hundred".