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220222210202112 = 2931074213182761
BaseRepresentation
bin110010000100101001111010…
…100111000101101000000000
31001212202001000110210102021210
4302010221322213011220000
5212331110041302431422
62100212404155250120
764246346444030316
oct6204517247055000
91055661013712253
10220222210202112
1164195795529118
1220848658749940
1395b5b331308c1
143c54b519c00b6
151a6d74219a10c
hexc84a7a9c5a00

220222210202112 has 160 divisors (see below), whose sum is σ = 593575539251904. Its totient is φ = 72548595302400.

The previous prime is 220222210201999. The next prime is 220222210202119. The reversal of 220222210202112 is 211202012222022.

It is not an unprimeable number, because it can be changed into a prime (220222210202119) 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 15 ways as a sum of consecutive naturals, for example, 67600812 + ... + 70783572.

Almost surely, 2220222210202112 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 220222210202112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (296787769625952).

220222210202112 is an abundant number, since it is smaller than the sum of its proper divisors (373353329049792).

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

220222210202112 is a wasteful number, since it uses less digits than its factorization.

220222210202112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3183310 (or 3183294 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

Adding to 220222210202112 its reverse (211202012222022), we get a palindrome (431424222424134).

The spelling of 220222210202112 in words is "two hundred twenty trillion, two hundred twenty-two billion, two hundred ten million, two hundred two thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 107 128 192 214 256 321 384 421 428 512 642 768 842 856 1263 1284 1536 1684 1712 2526 2568 3368 3424 5052 5136 6736 6848 10104 10272 13472 13696 20208 20544 26944 27392 40416 41088 45047 53888 54784 80832 82176 90094 107776 135141 161664 164352 180188 215552 270282 323328 360376 540564 646656 720752 1081128 1441504 2162256 2883008 3182761 4324512 5766016 6365522 8649024 9548283 11532032 12731044 17298048 19096566 23064064 25462088 34596096 38193132 50924176 69192192 76386264 101848352 152772528 203696704 305545056 340555427 407393408 611090112 681110854 814786816 1021666281 1222180224 1339942381 1362221708 1629573632 2043332562 2444360448 2679884762 2724443416 4019827143 4086665124 4888720896 5359769524 5448886832 8039654286 8173330248 10719539048 10897773664 16079308572 16346660496 21439078096 21795547328 32158617144 32693320992 42878156192 43591094656 64317234288 65386641984 85756312384 87182189312 128634468576 130773283968 143373834767 171512624768 174364378624 257268937152 261546567936 286747669534 343025249536 430121504301 514537874304 523093135872 573495339068 686050499072 860243008602 1029075748608 1146990678136 1720486017204 2058151497216 2293981356272 3440972034408 4587962712544 6881944068816 9175925425088 13763888137632 18351850850176 27527776275264 36703701700352 55055552550528 73407403400704 110111105101056 220222210202112