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230232000 = 2635353181
BaseRepresentation
bin11011011100100…
…00111111000000
3121001012222221010
431232100333000
5432414411000
634502400520
75463640215
oct1556207700
9531188833
10230232000
11108a61789
1265130140
1338910a6b
1422811b0c
151532bd50
hexdb90fc0

230232000 has 224 divisors, whose sum is σ = 778849344. Its totient is φ = 59904000.

The previous prime is 230231977. The next prime is 230232029. The reversal of 230232000 is 232032.

230232000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1271910 + ... + 1272090.

It is an arithmetic number, because the mean of its divisors is an integer number (3477006).

Almost surely, 2230232000 is an apocalyptic number.

230232000 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 230232000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389424672).

230232000 is an abundant number, since it is smaller than the sum of its proper divisors (548617344).

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

230232000 is a wasteful number, since it uses less digits than its factorization.

230232000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 264 (or 244 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 12.

The square root of 230232000 is about 15173.3977737355. The cubic root of 230232000 is about 612.8985050719.

Adding to 230232000 its reverse (232032), we get a palindrome (230464032).

The spelling of 230232000 in words is "two hundred thirty million, two hundred thirty-two thousand".