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245440120200 = 2335211101368197
BaseRepresentation
bin1110010010010101011…
…1110000010110001000
3212110112010212221222020
43210211113300112020
513010130132321300
6304430441324440
723506143412362
oct3444527602610
9773463787866
10245440120200
11950aa605050
123b699496720
131a1b647b072
14bc44d99d32
1565b784d8a0
hex39255f0588

245440120200 has 192 divisors, whose sum is σ = 838254294720. Its totient is φ = 58911360000.

The previous prime is 245440120187. The next prime is 245440120201. The reversal of 245440120200 is 2021044542.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (245440120201) 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, 482502 + ... + 850698.

It is an arithmetic number, because the mean of its divisors is an integer number (4365907785).

Almost surely, 2245440120200 is an apocalyptic number.

245440120200 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 245440120200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (419127147360).

245440120200 is an abundant number, since it is smaller than the sum of its proper divisors (592814174520).

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

245440120200 is a wasteful number, since it uses less digits than its factorization.

245440120200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 368328 (or 368319 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

Adding to 245440120200 its reverse (2021044542), we get a palindrome (247461164742).

The spelling of 245440120200 in words is "two hundred forty-five billion, four hundred forty million, one hundred twenty thousand, two hundred".