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235011000 = 23353719231
BaseRepresentation
bin11100000000111…
…11101110111000
3121101012210111010
432000133232320
5440130323000
635153033520
75552363160
oct1600375670
9541183433
10235011000
11110726274
12668558a0
13398c5083
14232d75a0
1515972d50
hexe01fbb8

235011000 has 384 divisors, whose sum is σ = 912936960. Its totient is φ = 49248000.

The previous prime is 235010999. The next prime is 235011001. The reversal of 235011000 is 110532.

It is an interprime number because it is at equal distance from previous prime (235010999) and next prime (235011001).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235011001) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 7580985 + ... + 7581015.

It is an arithmetic number, because the mean of its divisors is an integer number (2377440).

Almost surely, 2235011000 is an apocalyptic number.

235011000 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 235011000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (456468480).

235011000 is an abundant number, since it is smaller than the sum of its proper divisors (677925960).

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

235011000 is a wasteful number, since it uses less digits than its factorization.

235011000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 100 (or 67 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 235011000 is about 15330.0684929977. The cubic root of 235011000 is about 617.1102076471.

Adding to 235011000 its reverse (110532), we get a palindrome (235121532).

The spelling of 235011000 in words is "two hundred thirty-five million, eleven thousand".