Search a number
-
+
211000222332300 = 2235223155691964143
BaseRepresentation
bin101111111110011101010001…
…010011001011010110001100
31000200002102110021122101110110
4233332131101103023112030
5210124011423404113200
62024432055230240020
762305156131350232
oct5776352123132614
91020072407571413
10211000222332300
116125a767818865
121b7b930b656010
13909730a7890bb
143a16672912952
15195d900014b50
hexbfe7514cb58c

211000222332300 has 144 divisors (see below), whose sum is σ = 637078434370560. Its totient is φ = 53816862274560.

The previous prime is 211000222332293. The next prime is 211000222332349. The reversal of 211000222332300 is 3233222000112.

It is a happy 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, 106444029 + ... + 108408171.

It is an arithmetic number, because the mean of its divisors is an integer number (4424155794240).

Almost surely, 2211000222332300 is an apocalyptic number.

211000222332300 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 211000222332300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318539217185280).

211000222332300 is an abundant number, since it is smaller than the sum of its proper divisors (426078212038260).

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

211000222332300 is a wasteful number, since it uses less digits than its factorization.

211000222332300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1979752 (or 1979745 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 211000222332300 its reverse (3233222000112), we get a palindrome (214233444332412).

The spelling of 211000222332300 in words is "two hundred eleven trillion, two hundred twenty-two million, three hundred thirty-two thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 23 25 30 46 50 60 69 75 92 100 115 138 150 230 276 300 345 460 575 690 1150 1380 1725 2300 3450 6900 15569 31138 46707 62276 77845 93414 155690 186828 233535 311380 358087 389225 467070 716174 778450 934140 1074261 1167675 1432348 1556900 1790435 1964143 2148522 2335350 3580870 3928286 4297044 4670700 5371305 5892429 7161740 7856572 8952175 9820715 10742610 11784858 17904350 19641430 21485220 23569716 26856525 29462145 35808700 39282860 45175289 49103575 53713050 58924290 90350578 98207150 107426100 117848580 135525867 147310725 180701156 196414300 225876445 271051734 294621450 451752890 542103468 589242900 677629335 903505780 1129382225 1355258670 2258764450 2710517340 3388146675 4517528900 6776293350 13552586700 30579742367 61159484734 91739227101 122318969468 152898711835 183478454202 305797423670 366956908404 458696135505 611594847340 703334074441 764493559175 917392271010 1406668148882 1528987118350 1834784542020 2110002223323 2293480677525 2813336297764 3057974236700 3516670372205 4220004446646 4586961355050 7033340744410 8440008893292 9173922710100 10550011116615 14066681488820 17583351861025 21100022233230 35166703722050 42200044466460 52750055583075 70333407444100 105500111166150 211000222332300