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232012300 = 225213317563
BaseRepresentation
bin11011101010000…
…11101000001100
3121011120110001011
431311003220030
5433343343200
635004455004
75515033462
oct1565035014
9534513034
10232012300
11109a68303
126584a464
13390b51b0
1422b56832
151557e5ba
hexdd43a0c

232012300 has 72 divisors (see below), whose sum is σ = 544871376. Its totient is φ = 85244160.

The previous prime is 232012289. The next prime is 232012331. The reversal of 232012300 is 3210232.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (13).

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 23 ways as a sum of consecutive naturals, for example, 411819 + ... + 412381.

It is an arithmetic number, because the mean of its divisors is an integer number (7567658).

Almost surely, 2232012300 is an apocalyptic number.

232012300 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 232012300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272435688).

232012300 is an abundant number, since it is smaller than the sum of its proper divisors (312859076).

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

232012300 is a wasteful number, since it uses less digits than its factorization.

232012300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 907 (or 900 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 13.

The square root of 232012300 is about 15231.9499736573. The cubic root of 232012300 is about 614.4742239961.

Adding to 232012300 its reverse (3210232), we get a palindrome (235222532).

The spelling of 232012300 in words is "two hundred thirty-two million, twelve thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 130 260 317 325 563 634 650 1126 1268 1300 1585 2252 2815 3170 4121 5630 6340 7319 7925 8242 11260 14075 14638 15850 16484 20605 28150 29276 31700 36595 41210 56300 73190 82420 103025 146380 178471 182975 206050 356942 365950 412100 713884 731900 892355 1784710 2320123 3569420 4461775 4640246 8923550 9280492 11600615 17847100 23201230 46402460 58003075 116006150 232012300