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235800000 = 263255131
BaseRepresentation
bin11100000111000…
…00010111000000
3121102200212210100
432003200113000
5440331100000
635222002400
75562160362
oct1603402700
9542625710
10235800000
11111115037
1266b76400
1339b10237
1423460d32
1515a7ba00
hexe0e05c0

235800000 has 252 divisors, whose sum is σ = 851242392. Its totient is φ = 62400000.

The previous prime is 235799999. The next prime is 235800023. The reversal of 235800000 is 8532.

235800000 is digitally balanced in base 3, 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 (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1799935 + ... + 1800065.

It is an arithmetic number, because the mean of its divisors is an integer number (3377946).

Almost surely, 2235800000 is an apocalyptic number.

235800000 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 235800000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (425621196).

235800000 is an abundant number, since it is smaller than the sum of its proper divisors (615442392).

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

235800000 is an equidigital number, since it uses as much as digits as its factorization.

235800000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 141 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 235800000 is about 15355.7806704837. The cubic root of 235800000 is about 617.8000421369.

Adding to 235800000 its reverse (8532), we get a palindrome (235808532).

The spelling of 235800000 in words is "two hundred thirty-five million, eight hundred thousand".