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235334000 = 24531119563
BaseRepresentation
bin11100000011011…
…10100101110000
3121101211012120002
432001232211300
5440221142000
635204005132
75555206646
oct1601564560
9541735502
10235334000
11110926a10
12669907a8
13399a90b5
142337d196
15159d88d5
hexe06e970

235334000 has 160 divisors (see below), whose sum is σ = 654600960. Its totient is φ = 80928000.

The previous prime is 235333951. The next prime is 235334003. The reversal of 235334000 is 433532.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (235334003) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 417719 + ... + 418281.

It is an arithmetic number, because the mean of its divisors is an integer number (4091256).

Almost surely, 2235334000 is an apocalyptic number.

235334000 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 235334000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (327300480).

235334000 is an abundant number, since it is smaller than the sum of its proper divisors (419266960).

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

235334000 is a wasteful number, since it uses less digits than its factorization.

235334000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 616 (or 600 counting only the distinct ones).

The product of its (nonzero) digits is 1080, while the sum is 20.

The square root of 235334000 is about 15340.5997275204. The cubic root of 235334000 is about 617.3927977505.

Adding to 235334000 its reverse (433532), we get a palindrome (235767532).

The spelling of 235334000 in words is "two hundred thirty-five million, three hundred thirty-four thousand".

Divisors: 1 2 4 5 8 10 11 16 19 20 22 25 38 40 44 50 55 76 80 88 95 100 110 125 152 176 190 200 209 220 250 275 304 380 400 418 440 475 500 550 563 760 836 880 950 1000 1045 1100 1126 1375 1520 1672 1900 2000 2090 2200 2252 2375 2750 2815 3344 3800 4180 4400 4504 4750 5225 5500 5630 6193 7600 8360 9008 9500 10450 10697 11000 11260 12386 14075 16720 19000 20900 21394 22000 22520 24772 26125 28150 30965 38000 41800 42788 45040 49544 52250 53485 56300 61930 70375 83600 85576 99088 104500 106970 112600 117667 123860 140750 154825 171152 209000 213940 225200 235334 247720 267425 281500 309650 418000 427880 470668 495440 534850 563000 588335 619300 774125 855760 941336 1069700 1126000 1176670 1238600 1337125 1548250 1882672 2139400 2353340 2477200 2674250 2941675 3096500 4278800 4706680 5348500 5883350 6193000 9413360 10697000 11766700 12386000 14708375 21394000 23533400 29416750 47066800 58833500 117667000 235334000