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230033200 = 24525411063
BaseRepresentation
bin11011011011000…
…00011100110000
3121000211220020011
431231200130300
5432342030300
634454224304
75462151505
oct1555403460
9530756204
10230033200
11108936391
1265055094
1338871427
142279d4ac
15152dceba
hexdb60730

230033200 has 60 divisors (see below), whose sum is σ = 554197168. Its totient is φ = 91756800.

The previous prime is 230033183. The next prime is 230033231. The reversal of 230033200 is 2330032.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 215869 + ... + 216931.

Almost surely, 2230033200 is an apocalyptic number.

230033200 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 230033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (277098584).

230033200 is an abundant number, since it is smaller than the sum of its proper divisors (324163968).

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

230033200 is a wasteful number, since it uses less digits than its factorization.

230033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1622 (or 1611 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 13.

The square root of 230033200 is about 15166.8454201920. The cubic root of 230033200 is about 612.7220463845.

Adding to 230033200 its reverse (2330032), we get a palindrome (232363232).

The spelling of 230033200 in words is "two hundred thirty million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 541 1063 1082 2126 2164 2705 4252 4328 5315 5410 8504 8656 10630 10820 13525 17008 21260 21640 26575 27050 42520 43280 53150 54100 85040 106300 108200 212600 216400 425200 575083 1150166 2300332 2875415 4600664 5750830 9201328 11501660 14377075 23003320 28754150 46006640 57508300 115016600 230033200