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230433100 = 225267163211
BaseRepresentation
bin11011011110000…
…10000101001100
3121001121012210021
431233002011030
5432442324400
634510551524
75465435422
oct1557020514
9531535707
10230433100
11109089887
12652085a4
1338981461
1422865112
151536b71a
hexdbc214c

230433100 has 72 divisors (see below), whose sum is σ = 513036608. Its totient is φ = 89812800.

The previous prime is 230433031. The next prime is 230433107. The reversal of 230433100 is 1334032.

It is a super-2 number, since 2×2304331002 = 106198827151220000, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (230433107) 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 23 ways as a sum of consecutive naturals, for example, 1091995 + ... + 1092205.

Almost surely, 2230433100 is an apocalyptic number.

230433100 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 230433100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256518304).

230433100 is an abundant number, since it is smaller than the sum of its proper divisors (282603508).

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

230433100 is a wasteful number, since it uses less digits than its factorization.

230433100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 455 (or 448 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 16.

The square root of 230433100 is about 15180.0230566360. The cubic root of 230433100 is about 613.0769019654.

Adding to 230433100 its reverse (1334032), we get a palindrome (231767132).

The spelling of 230433100 in words is "two hundred thirty million, four hundred thirty-three thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 67 100 134 163 211 268 326 335 422 652 670 815 844 1055 1340 1630 1675 2110 3260 3350 4075 4220 5275 6700 8150 10550 10921 14137 16300 21100 21842 28274 34393 43684 54605 56548 68786 70685 109210 137572 141370 171965 218420 273025 282740 343930 353425 546050 687860 706850 859825 1092100 1413700 1719650 2304331 3439300 4608662 9217324 11521655 23043310 46086620 57608275 115216550 230433100