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30221200212 = 22372733472029
BaseRepresentation
bin11100001001010100…
…101110101101010100
32220000011112001000120
4130021110232231110
5443343111401322
621514453111540
72116623651300
oct341124565524
986004461016
1030221200212
11118a9097025
125a350285b0
132b08162bb8
141669988d00
15bbd26ea5c
hex70952eb54

30221200212 has 144 divisors (see below), whose sum is σ = 83433389760. Its totient is φ = 8487618048.

The previous prime is 30221200201. The next prime is 30221200213. The reversal of 30221200212 is 21200212203.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 30221200191 and 30221200200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (30221200213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 14893614 + ... + 14895642.

It is an arithmetic number, because the mean of its divisors is an integer number (579398540).

Almost surely, 230221200212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 30221200212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41716694880).

30221200212 is an abundant number, since it is smaller than the sum of its proper divisors (53212189548).

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

30221200212 is a wasteful number, since it uses less digits than its factorization.

30221200212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2470 (or 2461 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

Adding to 30221200212 its reverse (21200212203), we get a palindrome (51421412415).

The spelling of 30221200212 in words is "thirty billion, two hundred twenty-one million, two hundred thousand, two hundred twelve".

Divisors: 1 2 3 4 6 7 12 14 21 28 42 49 73 84 98 146 147 196 219 292 294 347 438 511 588 694 876 1022 1041 1388 1533 2029 2044 2082 2429 3066 3577 4058 4164 4858 6087 6132 7154 7287 8116 9716 10731 12174 14203 14308 14574 17003 21462 24348 25331 28406 29148 34006 42609 42924 50662 51009 56812 68012 75993 85218 99421 101324 102018 148117 151986 170436 177317 198842 204036 296234 298263 303972 354634 397684 444351 531951 592468 596526 704063 709268 888702 1036819 1063902 1193052 1241219 1408126 1777404 2073638 2112189 2127804 2482438 2816252 3110457 3723657 4147276 4224378 4928441 4964876 6220914 7257733 7447314 8448756 9856882 12441828 14515466 14785323 14894628 19713764 21773199 29030932 29570646 34499087 43546398 51396599 59141292 68998174 87092796 102793198 103497261 137996348 154189797 205586396 206994522 308379594 359776193 413989044 616759188 719552386 1079328579 1439104772 2158657158 2518433351 4317314316 5036866702 7555300053 10073733404 15110600106 30221200212