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222155120000 = 275411252449
BaseRepresentation
bin1100111011100101111…
…0100001110110000000
3210020102101001101121102
43032321132201312000
512114433202320000
6250020123113532
722023132235412
oct3167136416600
9706371041542
10222155120000
1186240856830
123707b3728a8
1317c45343638
14aa766c09b2
155ba34e43d5
hex33b97a1d80

222155120000 has 160 divisors (see below), whose sum is σ = 603320157000. Its totient is φ = 80783360000.

The previous prime is 222155119999. The next prime is 222155120009. The reversal of 222155120000 is 21551222.

It is a happy number.

222155120000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (160).

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222155120009) 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 19 ways as a sum of consecutive naturals, for example, 753776 + ... + 1006224.

Almost surely, 2222155120000 is an apocalyptic number.

222155120000 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 222155120000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301660078500).

222155120000 is an abundant number, since it is smaller than the sum of its proper divisors (381165037000).

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

222155120000 is an equidigital number, since it uses as much as digits as its factorization.

222155120000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 252494 (or 252467 counting only the distinct ones).

The product of its (nonzero) digits is 400, while the sum is 20.

Adding to 222155120000 its reverse (21551222), we get a palindrome (222176671222).

The spelling of 222155120000 in words is "two hundred twenty-two billion, one hundred fifty-five million, one hundred twenty thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 32 40 44 50 55 64 80 88 100 110 125 128 160 176 200 220 250 275 320 352 400 440 500 550 625 640 704 800 880 1000 1100 1250 1375 1408 1600 1760 2000 2200 2500 2750 3200 3520 4000 4400 5000 5500 6875 7040 8000 8800 10000 11000 13750 16000 17600 20000 22000 27500 35200 40000 44000 55000 80000 88000 110000 176000 220000 252449 440000 504898 880000 1009796 1262245 2019592 2524490 2776939 4039184 5048980 5553878 6311225 8078368 10097960 11107756 12622450 13884695 16156736 20195920 22215512 25244900 27769390 31556125 32313472 40391840 44431024 50489800 55538780 63112250 69423475 80783680 88862048 100979600 111077560 126224500 138846950 157780625 161567360 177724096 201959200 222155120 252449000 277693900 315561250 347117375 355448192 403918400 444310240 504898000 555387800 631122500 694234750 807836800 888620480 1009796000 1110775600 1262245000 1388469500 1735586875 1777240960 2019592000 2221551200 2524490000 2776939000 3471173750 4039184000 4443102400 5048980000 5553878000 6942347500 8886204800 10097960000 11107756000 13884695000 20195920000 22215512000 27769390000 44431024000 55538780000 111077560000 222155120000