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235012000 = 2553411433
BaseRepresentation
bin11100000000111…
…11111110100000
3121101012211212011
432000133332200
5440130341000
635153042304
75552366116
oct1600377640
9541184764
10235012000
11110726aa3
1266856394
13398c5672
14232d7ab6
15159732ba
hexe01ffa0

235012000 has 96 divisors (see below), whose sum is σ = 591920784. Its totient is φ = 91648000.

The previous prime is 235011989. The next prime is 235012003. The reversal of 235012000 is 210532.

235012000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1411344 + 233600656 = 1188^2 + 15284^2 .

It is not an unprimeable number, because it can be changed into a prime (235012003) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 163284 + ... + 164716.

Almost surely, 2235012000 is an apocalyptic number.

235012000 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 235012000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (295960392).

235012000 is an abundant number, since it is smaller than the sum of its proper divisors (356908784).

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

235012000 is a wasteful number, since it uses less digits than its factorization.

235012000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1499 (or 1481 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

The square root of 235012000 is about 15330.1011086033. The cubic root of 235012000 is about 617.1110829385. Note that the first 3 decimals are identical.

Adding to 235012000 its reverse (210532), we get a palindrome (235222532).

The spelling of 235012000 in words is "two hundred thirty-five million, twelve thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 41 50 80 82 100 125 160 164 200 205 250 328 400 410 500 656 800 820 1000 1025 1312 1433 1640 2000 2050 2866 3280 4000 4100 5125 5732 6560 7165 8200 10250 11464 14330 16400 20500 22928 28660 32800 35825 41000 45856 57320 58753 71650 82000 114640 117506 143300 164000 179125 229280 235012 286600 293765 358250 470024 573200 587530 716500 940048 1146400 1175060 1433000 1468825 1880096 2350120 2866000 2937650 4700240 5732000 5875300 7344125 9400480 11750600 14688250 23501200 29376500 47002400 58753000 117506000 235012000