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230737248 = 25387157
BaseRepresentation
bin11011100000011…
…00010101100000
3121002011200000000
431300030111200
5433032042443
634521300000
75501143230
oct1560142540
9532150000
10230737248
11109277345
1265334600
1338a59a21
1422903cc0
15153cb8d3
hexdc0c560

230737248 has 216 divisors, whose sum is σ = 783658512. Its totient is φ = 65505024.

The previous prime is 230737237. The next prime is 230737279. The reversal of 230737248 is 842737032.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×2307372482 = 106479355229227008, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1469586 + ... + 1469742.

Almost surely, 2230737248 is an apocalyptic number.

230737248 is a gapful number since it is divisible by the number (28) 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 230737248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (391829256).

230737248 is an abundant number, since it is smaller than the sum of its proper divisors (552921264).

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

230737248 is an frugal number, since it uses more digits than its factorization.

230737248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198 (or 169 counting only the distinct ones).

The product of its (nonzero) digits is 56448, while the sum is 36.

The square root of 230737248 is about 15190.0377879714. The cubic root of 230737248 is about 613.3465162048.

The spelling of 230737248 in words is "two hundred thirty million, seven hundred thirty-seven thousand, two hundred forty-eight".