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232032230300 = 2252131033534909
BaseRepresentation
bin1101100000011000110…
…0101101101110011100
3211011220201120120202102
43120012030231232130
512300200222332200
6254332155544232
722522655262353
oct3300614555634
9734821516672
10232032230300
118a44a165a02
1238b7715b078
1318b5a7347c0
14b3323b499a
1560806ca6d5
hex360632db9c

232032230300 has 144 divisors (see below), whose sum is σ = 549168809280. Its totient is φ = 84584079360.

The previous prime is 232032230299. The next prime is 232032230371. The reversal of 232032230300 is 3032230232.

232032230300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-3 number, since 3×2320322303003 (a number of 35 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 47264246 + ... + 47269154.

Almost surely, 2232032230300 is an apocalyptic number.

232032230300 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 232032230300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (274584404640).

232032230300 is an abundant number, since it is smaller than the sum of its proper divisors (317136578980).

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

232032230300 is a wasteful number, since it uses less digits than its factorization.

232032230300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5392 (or 5385 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 20.

Adding to 232032230300 its reverse (3032230232), we get a palindrome (235064460532).

The spelling of 232032230300 in words is "two hundred thirty-two billion, thirty-two million, two hundred thirty thousand, three hundred".

Divisors: 1 2 4 5 10 13 20 25 26 50 52 65 100 103 130 206 260 325 353 412 515 650 706 1030 1300 1339 1412 1765 2060 2575 2678 3530 4589 4909 5150 5356 6695 7060 8825 9178 9818 10300 13390 17650 18356 19636 22945 24545 26780 33475 35300 36359 45890 49090 63817 66950 72718 91780 98180 114725 122725 127634 133900 145436 181795 229450 245450 255268 319085 363590 458900 472667 490900 505627 638170 727180 908975 945334 1011254 1276340 1595425 1732877 1817950 1890668 2022508 2363335 2528135 3190850 3465754 3635900 4726670 5056270 6381700 6573151 6931508 8664385 9453340 10112540 11816675 12640675 13146302 17328770 22527401 23633350 25281350 26292604 32865755 34657540 43321925 45054802 47266700 50562700 65731510 86643850 90109604 112637005 131463020 164328775 173287700 178486331 225274010 328657550 356972662 450548020 563185025 657315100 713945324 892431655 1126370050 1784863310 2252740100 2320322303 3569726620 4462158275 4640644606 8924316550 9281289212 11601611515 17848633100 23203223030 46406446060 58008057575 116016115150 232032230300