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232221030000 = 2435473107991
BaseRepresentation
bin1101100001000101110…
…0111011011001110000
3211012101212211121020220
43120101130323121300
512301042040430000
6254403022333040
722530440120661
oct3302134733160
9735355747226
10232221030000
118a536798a13
123900a42a180
1318b8a899abb
14b34d4bd368
1560920711a0
hex361173b670

232221030000 has 400 divisors, whose sum is σ = 767785430016. Its totient is φ = 60445440000.

The previous prime is 232221029993. The next prime is 232221030007. The reversal of 232221030000 is 30122232.

232221030000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (232221029993) and next prime (232221030007).

It is a tau number, because it is divible by the number of its divisors (400).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232221030007) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 234329505 + ... + 234330495.

Almost surely, 2232221030000 is an apocalyptic number.

232221030000 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 232221030000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (383892715008).

232221030000 is an abundant number, since it is smaller than the sum of its proper divisors (535564400016).

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

232221030000 is a wasteful number, since it uses less digits than its factorization.

232221030000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1202 (or 1181 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

Adding to 232221030000 its reverse (30122232), we get a palindrome (232251152232).

The spelling of 232221030000 in words is "two hundred thirty-two billion, two hundred twenty-one million, thirty thousand".