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230526000 = 2434531423
BaseRepresentation
bin11011011110110…
…00110000110000
3121001202221020000
431233120300300
5433003313000
634512550000
75466303315
oct1557306060
9531687200
10230526000
11109142661
1265252300
13389b4823
142288ad0c
1515389000
hexdbd8c30

230526000 has 200 divisors, whose sum is σ = 833262144. Its totient is φ = 61430400.

The previous prime is 230525969. The next prime is 230526007. The reversal of 230526000 is 625032.

230526000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (200).

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

It is not an unprimeable number, because it can be changed into a prime (230526007) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 161289 + ... + 162711.

Almost surely, 2230526000 is an apocalyptic number.

230526000 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 230526000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (416631072).

230526000 is an abundant number, since it is smaller than the sum of its proper divisors (602736144).

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

230526000 is a wasteful number, since it uses less digits than its factorization.

230526000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1458 (or 1433 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 230526000 is about 15183.0826909426. The cubic root of 230526000 is about 613.1592790082.

The spelling of 230526000 in words is "two hundred thirty million, five hundred twenty-six thousand".