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30001143222 = 232191013472503
BaseRepresentation
bin11011111100001101…
…010001110110110110
32212102211102222120200
4123330031101312312
5442420243040342
621440552341330
72111312336601
oct337415216666
985384388520
1030001143222
11117a5954a46
1259933a4846
132aa16a556b
141648665338
15ba8ca294c
hex6fc351db6

30001143222 has 96 divisors (see below), whose sum is σ = 69327947520. Its totient is φ = 9349473600.

The previous prime is 30001143209. The next prime is 30001143287. The reversal of 30001143222 is 22234110003.

30001143222 is a `hidden beast` number, since 300 + 0 + 1 + 143 + 222 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 30001143195 and 30001143204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11984823 + ... + 11987325.

It is an arithmetic number, because the mean of its divisors is an integer number (722166120).

Almost surely, 230001143222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30001143222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (34663973760).

30001143222 is an abundant number, since it is smaller than the sum of its proper divisors (39326804298).

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

30001143222 is a wasteful number, since it uses less digits than its factorization.

30001143222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2978 (or 2975 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 30001143222 its reverse (22234110003), we get a palindrome (52235253225).

The spelling of 30001143222 in words is "thirty billion, one million, one hundred forty-three thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 38 57 101 114 171 202 303 342 347 606 694 909 1041 1818 1919 2082 2503 3123 3838 5006 5757 6246 6593 7509 11514 13186 15018 17271 19779 22527 34542 35047 39558 45054 47557 59337 70094 95114 105141 118674 142671 210282 252803 285342 315423 428013 505606 630846 665893 758409 856026 868541 1331786 1516818 1737082 1997679 2275227 2605623 3995358 4550454 4803257 5211246 5993037 7816869 9606514 11986074 14409771 15633738 16502279 28819542 33004558 43229313 49506837 86458626 87722641 99013674 148520511 175445282 263167923 297041022 526335846 789503769 1579007538 1666730179 3333460358 5000190537 10000381074 15000571611 30001143222