Search a number
-
+
1222223033200 = 245213677347183
BaseRepresentation
bin10001110010010010001…
…010110111001101110000
311022211202211021011111011
4101302102022313031300
5130011103044030300
62333252001200304
7154205553240211
oct21622212671560
94284684234434
101222223033200
11431384047934
12178a60030094
138b3416c9bb0
1443227b65408
1521bd5bc2eba
hex11c922b7370

1222223033200 has 120 divisors (see below), whose sum is σ = 3166947177408. Its totient is φ = 450614461440.

The previous prime is 1222223033177. The next prime is 1222223033267. The reversal of 1222223033200 is 23303222221.

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 3346809 + ... + 3693991.

Almost surely, 21222223033200 is an apocalyptic number.

1222223033200 is a gapful number since it is divisible by the number (10) 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 1222223033200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1583473588704).

1222223033200 is an abundant number, since it is smaller than the sum of its proper divisors (1944724144208).

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

1222223033200 is a wasteful number, since it uses less digits than its factorization.

1222223033200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 347891 (or 347880 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 22.

Adding to 1222223033200 its reverse (23303222221), we get a palindrome (1245526255421).

The spelling of 1222223033200 in words is "one trillion, two hundred twenty-two billion, two hundred twenty-three million, thirty-three thousand, two hundred".

Divisors: 1 2 4 5 8 10 13 16 20 25 26 40 50 52 65 80 100 104 130 200 208 260 325 400 520 650 677 1040 1300 1354 2600 2708 3385 5200 5416 6770 8801 10832 13540 16925 17602 27080 33850 35204 44005 54160 67700 70408 88010 135400 140816 176020 220025 270800 347183 352040 440050 694366 704080 880100 1388732 1735915 1760200 2777464 3471830 3520400 4513379 5554928 6943660 8679575 9026758 13887320 17359150 18053516 22566895 27774640 34718300 36107032 45133790 69436600 72214064 90267580 112834475 138873200 180535160 225668950 235042891 361070320 451337900 470085782 902675800 940171564 1175214455 1805351600 1880343128 2350428910 3055557583 3760686256 4700857820 5876072275 6111115166 9401715640 11752144550 12222230332 15277787915 18803431280 23504289100 24444460664 30555575830 47008578200 48888921328 61111151660 76388939575 94017156400 122222303320 152777879150 244444606640 305555758300 611111516600 1222223033200