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204231000 = 23353193583
BaseRepresentation
bin11000010110001…
…01000101011000
3112020022000021010
430023011011120
5404240343000
632133213520
75026635441
oct1413050530
9466260233
10204231000
11a5312856
12584912a0
133340905c
141d1a42c8
1512de2d50
hexc2c5158

204231000 has 128 divisors (see below), whose sum is σ = 670924800. Its totient is φ = 51580800.

The previous prime is 204230993. The next prime is 204231017. The reversal of 204231000 is 132402.

It is a super-2 number, since 2×2042310002 = 83420602722000000, which contains 22 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 55209 + ... + 58791.

It is an arithmetic number, because the mean of its divisors is an integer number (5241600).

Almost surely, 2204231000 is an apocalyptic number.

204231000 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 204231000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (335462400).

204231000 is an abundant number, since it is smaller than the sum of its proper divisors (466693800).

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

204231000 is a wasteful number, since it uses less digits than its factorization.

204231000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3626 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 204231000 is about 14290.9411866399. The cubic root of 204231000 is about 588.8986444068.

Adding to 204231000 its reverse (132402), we get a palindrome (204363402).

The spelling of 204231000 in words is "two hundred four million, two hundred thirty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 19 20 24 25 30 38 40 50 57 60 75 76 95 100 114 120 125 150 152 190 200 228 250 285 300 375 380 456 475 500 570 600 750 760 950 1000 1140 1425 1500 1900 2280 2375 2850 3000 3583 3800 4750 5700 7125 7166 9500 10749 11400 14250 14332 17915 19000 21498 28500 28664 35830 42996 53745 57000 68077 71660 85992 89575 107490 136154 143320 179150 204231 214980 268725 272308 340385 358300 408462 429960 447875 537450 544616 680770 716600 816924 895750 1021155 1074900 1343625 1361540 1633848 1701925 1791500 2042310 2149800 2687250 2723080 3403850 3583000 4084620 5105775 5374500 6807700 8169240 8509625 10211550 10749000 13615400 17019250 20423100 25528875 34038500 40846200 51057750 68077000 102115500 204231000