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248197300 = 225213190921
BaseRepresentation
bin11101100101100…
…11000010110100
3122022000201200121
432302303002310
51002014303200
640343421324
76102433201
oct1662630264
9568021617
10248197300
1111811233a
126b154844
133c561010
1424d6aca8
1516bc9e1a
hexecb30b4

248197300 has 36 divisors (see below), whose sum is σ = 580021036. Its totient is φ = 91641600.

The previous prime is 248197291. The next prime is 248197303. The reversal of 248197300 is 3791842.

248197300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 25948836 + 222248464 = 5094^2 + 14908^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (248197303) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 94161 + ... + 96760.

Almost surely, 2248197300 is an apocalyptic number.

248197300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

248197300 is an abundant number, since it is smaller than the sum of its proper divisors (331823736).

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

248197300 is a wasteful number, since it uses less digits than its factorization.

248197300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 190948 (or 190941 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 34.

The square root of 248197300 is about 15754.2787838733. The cubic root of 248197300 is about 628.4426977130.

The spelling of 248197300 in words is "two hundred forty-eight million, one hundred ninety-seven thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 325 650 1300 190921 381842 763684 954605 1909210 2481973 3818420 4773025 4963946 9546050 9927892 12409865 19092100 24819730 49639460 62049325 124098650 248197300