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2201112212220 = 22325101278943411
BaseRepresentation
bin100000000001111100100…
…000101111001011111100
321210102110021221202210200
4200001330200233023330
5242030334211242340
64403102121403500
7315011420050215
oct40017440571374
97712407852720
102201112212220
11779539508539
122b6710039590
1312c74411b98c
147876a56c40c
153c3c8deb330
hex2007c82f2fc

2201112212220 has 144 divisors (see below), whose sum is σ = 6745386080160. Its totient is φ = 580929984000.

The previous prime is 2201112212209. The next prime is 2201112212227. The reversal of 2201112212220 is 222122111022.

It is a happy number.

2201112212220 is a `hidden beast` number, since 220 + 1 + 1 + 1 + 221 + 2 + 220 = 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 = 2201112212193 and 2201112212202.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201112212227) 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 47 ways as a sum of consecutive naturals, for example, 50682315 + ... + 50725725.

It is an arithmetic number, because the mean of its divisors is an integer number (46842958890).

Almost surely, 22201112212220 is an apocalyptic number.

2201112212220 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 2201112212220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3372693040080).

2201112212220 is an abundant number, since it is smaller than the sum of its proper divisors (4544273867940).

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

2201112212220 is a wasteful number, since it uses less digits than its factorization.

2201112212220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46316 (or 46311 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 2201112212220 its reverse (222122111022), we get a palindrome (2423234323242).

The spelling of 2201112212220 in words is "two trillion, two hundred one billion, one hundred twelve million, two hundred twelve thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 101 180 202 303 404 505 606 909 1010 1212 1515 1818 2020 2789 3030 3636 4545 5578 6060 8367 9090 11156 13945 16734 18180 25101 27890 33468 41835 43411 50202 55780 83670 86822 100404 125505 130233 167340 173644 217055 251010 260466 281689 390699 434110 502020 520932 563378 651165 781398 845067 868220 1126756 1302330 1408445 1562796 1690134 1953495 2535201 2604660 2816890 3380268 3906990 4225335 4384511 5070402 5633780 7813980 8450670 8769022 10140804 12676005 13153533 16901340 17538044 21922555 25352010 26307066 39460599 43845110 50704020 52614132 65767665 78921198 87690220 121073279 131535330 157842396 197302995 242146558 263070660 363219837 394605990 484293116 605366395 726439674 789211980 1089659511 1210732790 1452879348 1816099185 2179319022 2421465580 3632198370 4358638044 5448297555 7264396740 10896595110 12228401179 21793190220 24456802358 36685203537 48913604716 61142005895 73370407074 110055610611 122284011790 146740814148 183426017685 220111221222 244568023580 366852035370 440222442444 550278053055 733704070740 1100556106110 2201112212220