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22011222000 = 2435319119207
BaseRepresentation
bin10100011111111110…
…001001011111110000
32002210222222221011110
4110133332021133300
5330034333101000
614040052513320
71406313204615
oct243776113760
962728887143
1022011222000
119375840969
12432361b840
1320ca280b21
1410cb46250c
1588c5e8850
hex51ff897f0

22011222000 has 160 divisors (see below), whose sum is σ = 71339433984. Its totient is φ = 5838624000.

The previous prime is 22011221983. The next prime is 22011222001. The reversal of 22011222000 is 22211022.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22011222001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1136397 + ... + 1155603.

Almost surely, 222011222000 is an apocalyptic number.

22011222000 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 22011222000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35669716992).

22011222000 is an abundant number, since it is smaller than the sum of its proper divisors (49328211984).

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

22011222000 is a wasteful number, since it uses less digits than its factorization.

22011222000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19424 (or 19408 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 12.

Adding to 22011222000 its reverse (22211022), we get a palindrome (22033433022).

The spelling of 22011222000 in words is "twenty-two billion, eleven million, two hundred twenty-two thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 191 200 240 250 300 375 382 400 500 573 600 750 764 955 1000 1146 1200 1500 1528 1910 2000 2292 2865 3000 3056 3820 4584 4775 5730 6000 7640 9168 9550 11460 14325 15280 19100 19207 22920 23875 28650 38200 38414 45840 47750 57300 57621 71625 76400 76828 95500 96035 114600 115242 143250 153656 191000 192070 229200 230484 286500 288105 307312 382000 384140 460968 480175 573000 576210 768280 921936 960350 1146000 1152420 1440525 1536560 1920700 2304840 2400875 2881050 3668537 3841400 4609680 4801750 5762100 7202625 7337074 7682800 9603500 11005611 11524200 14405250 14674148 18342685 19207000 22011222 23048400 28810500 29348296 36685370 38414000 44022444 55028055 57621000 58696592 73370740 88044888 91713425 110056110 115242000 146741480 176089776 183426850 220112220 275140275 293482960 366853700 440224440 458567125 550280550 733707400 880448880 917134250 1100561100 1375701375 1467414800 1834268500 2201122200 2751402750 3668537000 4402244400 5502805500 7337074000 11005611000 22011222000