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230076000 = 25325371183
BaseRepresentation
bin11011011011010…
…10111001100000
3121000221001221100
431231222321200
5432344413000
634455154400
75462420340
oct1555527140
9530831840
10230076000
11108965560
1265075a00
1338887a5b
14227b0d20
15152eaa00
hexdb6ae60

230076000 has 576 divisors, whose sum is σ = 1030288896. Its totient is φ = 47232000.

The previous prime is 230075999. The next prime is 230076043. The reversal of 230076000 is 670032.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2771959 + ... + 2772041.

It is an arithmetic number, because the mean of its divisors is an integer number (1788696).

Almost surely, 2230076000 is an apocalyptic number.

230076000 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 230076000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (515144448).

230076000 is an abundant number, since it is smaller than the sum of its proper divisors (800212896).

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

230076000 is a wasteful number, since it uses less digits than its factorization.

230076000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 132 (or 111 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 230076000 is about 15168.2563269481. The cubic root of 230076000 is about 612.7600450695.

The spelling of 230076000 in words is "two hundred thirty million, seventy-six thousand".