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230069840 = 24571113317
BaseRepresentation
bin11011011011010…
…01011001010000
3121000220202111012
431231221121100
5432344213330
634455110052
75462363360
oct1555513120
9530822435
10230069840
11108960970
1265072328
1338885000
14227ac9a0
15152e8c95
hexdb69650

230069840 has 320 divisors, whose sum is σ = 764951040. Its totient is φ = 62300160.

The previous prime is 230069831. The next prime is 230069843. The reversal of 230069840 is 48960032.

230069840 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 230069797 and 230069806.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (230069843) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13533512 + ... + 13533528.

It is an arithmetic number, because the mean of its divisors is an integer number (2390472).

Almost surely, 2230069840 is an apocalyptic number.

230069840 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 230069840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (382475520).

230069840 is an abundant number, since it is smaller than the sum of its proper divisors (534881200).

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

230069840 is a wasteful number, since it uses less digits than its factorization.

230069840 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 87 (or 55 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The square root of 230069840 is about 15168.0532699487. The cubic root of 230069840 is about 612.7545763902.

The spelling of 230069840 in words is "two hundred thirty million, sixty-nine thousand, eight hundred forty".