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2222002002000 = 243531133666697
BaseRepresentation
bin100000010101011001101…
…000111101100001010000
321212102101010210001011110
4200111121220331201100
5242401130003031000
64420435034213320
7316351165246344
oct40253150754120
97772333701143
102222002002000
11787389225810
122ba77bb84240
131316c2c56831
147978cab3624
153cbecd28850
hex20559a3d850

2222002002000 has 160 divisors (see below), whose sum is σ = 7814983273344. Its totient is φ = 538667136000.

The previous prime is 2222002001987. The next prime is 2222002002001. The reversal of 2222002002000 is 2002002222.

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

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2222002002001) 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 31 ways as a sum of consecutive naturals, for example, 16767349 + ... + 16899348.

Almost surely, 22222002002000 is an apocalyptic number.

2222002002000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2222002002000 is an abundant number, since it is smaller than the sum of its proper divisors (5592981271344).

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

2222002002000 is a wasteful number, since it uses less digits than its factorization.

2222002002000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33666734 (or 33666718 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 12.

Adding to 2222002002000 its reverse (2002002222), we get a palindrome (2224004004222).

The spelling of 2222002002000 in words is "two trillion, two hundred twenty-two billion, two million, two thousand".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 16 20 22 24 25 30 33 40 44 48 50 55 60 66 75 80 88 100 110 120 125 132 150 165 176 200 220 240 250 264 275 300 330 375 400 440 500 528 550 600 660 750 825 880 1000 1100 1200 1320 1375 1500 1650 2000 2200 2640 2750 3000 3300 4125 4400 5500 6000 6600 8250 11000 13200 16500 22000 33000 66000 33666697 67333394 101000091 134666788 168333485 202000182 269333576 336666970 370333667 404000364 505000455 538667152 673333940 740667334 808000728 841667425 1010000910 1111001001 1346667880 1481334668 1616001456 1683334850 1851668335 2020001820 2222002002 2525002275 2693335760 2962669336 3366669700 3703336670 4040003640 4208337125 4444004004 5050004550 5555005005 5925338672 6733339400 7406673340 8080007280 8416674250 8888008008 9258341675 10100009100 11110010010 12625011375 13466678800 14813346680 16833348500 17776016016 18516683350 20200018200 22220020020 25250022750 27775025025 29626693360 33666697000 37033366700 40400036400 44440040040 46291708375 50500045500 55550050050 67333394000 74066733400 88880080080 92583416750 101000091000 111100100100 138875125125 148133466800 185166833500 202000182000 222200200200 277750250250 370333667000 444400400400 555500500500 740667334000 1111001001000 2222002002000