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222211000112222 = 211241227113611481
BaseRepresentation
bin110010100001100110000111…
…101110100001010001011110
31002010210011102122212200212102
4302201212013232201101132
5213111201112012042342
62104334154005205102
764543133506242512
oct6241460756412136
91063704378780772
10222211000112222
1164892179597500
1220b09b92400792
1396cb53b08c894
143cc30d9712142
151aa5340e39832
hexca1987ba145e

222211000112222 has 144 divisors (see below), whose sum is σ = 377443880364096. Its totient is φ = 98039462400000.

The previous prime is 222211000112221. The next prime is 222211000112273.

222211000112222 is nontrivially palindromic in base 10.

It is a zygodrome in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 222211000112194 and 222211000112203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (222211000112221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 150041187722 + ... + 150041189202.

It is an arithmetic number, because the mean of its divisors is an integer number (2621138058084).

Almost surely, 2222211000112222 is an apocalyptic number.

222211000112222 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

222211000112222 is a deficient number, since it is larger than the sum of its proper divisors (155232880251874).

222211000112222 is a wasteful number, since it uses less digits than its factorization.

222211000112222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3219 (or 3167 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 20.

It can be divided in two parts, 222211000 and 112222, that added together give a palindrome (222323222).

The spelling of 222211000112222 in words is "two hundred twenty-two trillion, two hundred eleven billion, one hundred twelve thousand, two hundred twenty-two".

Divisors: 1 2 11 22 41 82 121 242 271 451 542 902 1361 1481 1681 2722 2962 2981 3362 4961 5962 9922 11111 14971 16291 18491 22222 29942 32582 32791 36982 55801 60721 65582 111602 121442 122221 164681 179201 203401 244442 329362 358402 368831 401351 406802 455551 613811 667931 737662 802702 911102 1227622 1335862 1344431 2015641 2287841 2489561 2688862 4031282 4057141 4414861 4575682 4979122 5011061 6751921 7347241 8114282 8829722 10022122 13503842 14694482 15122071 16455391 22172051 25166251 27385171 30244142 32910782 44344102 44628551 48563471 50332502 54770342 55121671 82641281 89257102 97126942 110243342 165282562 166342781 181009301 243892561 276828761 301236881 332685562 362018602 487785122 546238711 553657522 602473762 620004911 674671031 909054091 1092477422 1240009822 1349342062 1818108182 1829770591 1991102311 3388292521 3659541182 3982204622 6008625821 6776585042 6820054021 7421381341 9999595001 12017251642 13640108042 14842762682 19999190002 22395787151 37271217731 44791574302 66094884031 74542435462 75020594231 81635194751 132189768062 150041188462 163270389502 246353658661 409983395041 492707317322 819966790082 918227273191 1836454546382 2709890245271 5419780490542 10100500005101 20201000010202 111105500056111 222211000112222