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232213130300 = 22521719471511013
BaseRepresentation
bin1101100001000011111…
…0110010110000111100
3211012101022222020220102
43120100332302300330
512301033030132200
6254402141140232
722530313016534
oct3302076626074
9735338866812
10232213130300
118a532292838
123900785a678
1318b89062218
14b34c4244c4
1560915106d5
hex3610fb2c3c

232213130300 has 288 divisors, whose sum is σ = 577943009280. Its totient is φ = 80441856000.

The previous prime is 232213130291. The next prime is 232213130323. The reversal of 232213130300 is 3031312232.

232213130300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 95 ways as a sum of consecutive naturals, for example, 229232594 + ... + 229233606.

It is an arithmetic number, because the mean of its divisors is an integer number (2006746560).

Almost surely, 2232213130300 is an apocalyptic number.

232213130300 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 232213130300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288971504640).

232213130300 is an abundant number, since it is smaller than the sum of its proper divisors (345729878980).

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

232213130300 is a wasteful number, since it uses less digits than its factorization.

232213130300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1254 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 20.

Adding to 232213130300 its reverse (3031312232), we get a palindrome (235244442532).

The spelling of 232213130300 in words is "two hundred thirty-two billion, two hundred thirteen million, one hundred thirty thousand, three hundred".