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220122212200 = 235211349128661
BaseRepresentation
bin1100110100000001001…
…1100110011101101000
3210001011200202222100221
43031000103212131220
512101302241242300
6245042302535424
721621555634462
oct3150023463550
9701150688327
10220122212200
1185398283040
12367b2597574
13179b0116907
14a9226db132
155ad4cd131a
hex33404e6768

220122212200 has 96 divisors (see below), whose sum is σ = 558489388320. Its totient is φ = 80018720000.

The previous prime is 220122212197. The next prime is 220122212203. The reversal of 220122212200 is 2212221022.

It is an interprime number because it is at equal distance from previous prime (220122212197) and next prime (220122212203).

It is not an unprimeable number, because it can be changed into a prime (220122212203) 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 23 ways as a sum of consecutive naturals, for example, 7665870 + ... + 7694530.

It is an arithmetic number, because the mean of its divisors is an integer number (5817597795).

Almost surely, 2220122212200 is an apocalyptic number.

220122212200 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 220122212200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279244694160).

220122212200 is an abundant number, since it is smaller than the sum of its proper divisors (338367176120).

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

220122212200 is a wasteful number, since it uses less digits than its factorization.

220122212200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32179 (or 32170 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

Adding to 220122212200 its reverse (2212221022), we get a palindrome (222334433222).

The spelling of 220122212200 in words is "two hundred twenty billion, one hundred twenty-two million, two hundred twelve thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 20 22 25 40 44 50 55 88 100 110 200 220 275 440 550 1100 2200 3491 6982 13964 17455 27928 28661 34910 38401 57322 69820 76802 87275 114644 139640 143305 153604 174550 192005 229288 286610 307208 315271 349100 384010 573220 630542 698200 716525 768020 960025 1146440 1261084 1433050 1536040 1576355 1920050 2522168 2866100 3152710 3840100 5732200 6305420 7680200 7881775 12610840 15763550 31527100 63054200 100055551 200111102 400222204 500277755 800444408 1000555510 1100611061 2001111020 2201222122 2501388775 4002222040 4402444244 5002777550 5503055305 8804888488 10005555100 11006110610 20011110200 22012221220 27515276525 44024442440 55030553050 110061106100 220122212200