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232043020 = 225112833727
BaseRepresentation
bin11011101010010…
…11001000001100
3121011122000011221
431311023020030
5433400334040
635005253124
75515222156
oct1565131014
9534560157
10232043020
11109a893a0
12658641a4
13390c6181
1422b63ad6
151558874a
hexdd4b20c

232043020 has 48 divisors (see below), whose sum is σ = 533611008. Its totient is φ = 84058560.

The previous prime is 232043011. The next prime is 232043023. The reversal of 232043020 is 20340232.

It is a junction number, because it is equal to n+sod(n) for n = 232042985 and 232043003.

It is not an unprimeable number, because it can be changed into a prime (232043023) 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 15 ways as a sum of consecutive naturals, for example, 60397 + ... + 64123.

It is an arithmetic number, because the mean of its divisors is an integer number (11116896).

Almost surely, 2232043020 is an apocalyptic number.

232043020 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 232043020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (266805504).

232043020 is an abundant number, since it is smaller than the sum of its proper divisors (301567988).

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

232043020 is a wasteful number, since it uses less digits than its factorization.

232043020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4030 (or 4028 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 16.

The square root of 232043020 is about 15232.9583469528. The cubic root of 232043020 is about 614.5013429823.

Adding to 232043020 its reverse (20340232), we get a palindrome (252383252).

The spelling of 232043020 in words is "two hundred thirty-two million, forty-three thousand, twenty".

Divisors: 1 2 4 5 10 11 20 22 44 55 110 220 283 566 1132 1415 2830 3113 3727 5660 6226 7454 12452 14908 15565 18635 31130 37270 40997 62260 74540 81994 163988 204985 409970 819940 1054741 2109482 4218964 5273705 10547410 11602151 21094820 23204302 46408604 58010755 116021510 232043020