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22220022111112 = 2374721511189553
BaseRepresentation
bin1010000110101100000001…
…00001100101101110001000
32220200012202112201200010001
411003112000201211232020
510403023101130023422
6115131423124332344
74452225601431520
oct503260041455610
986605675650101
1022220022111112
117097505230491
1225aa4805440b4
13c52453cb41a7
1456b651dcc680
15287ed8e70227
hex143580865b88

22220022111112 has 96 divisors (see below), whose sum is σ = 48971178414720. Its totient is φ = 9258521126400.

The previous prime is 22220022111101. The next prime is 22220022111121. The reversal of 22220022111112 is 21111122002222.

It is a super-3 number, since 3×222200221111123 (a number of 41 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 22220022111112.

It is an unprimeable number.

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, 18084528 + ... + 19274080.

It is an arithmetic number, because the mean of its divisors is an integer number (510116441820).

Almost surely, 222220022111112 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 22220022111112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24485589207360).

22220022111112 is an abundant number, since it is smaller than the sum of its proper divisors (26751156303608).

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

22220022111112 is a wasteful number, since it uses less digits than its factorization.

22220022111112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1189811 (or 1189760 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 19.

Adding to 22220022111112 its reverse (21111122002222), we get a palindrome (43331144113334).

The spelling of 22220022111112 in words is "twenty-two trillion, two hundred twenty billion, twenty-two million, one hundred eleven thousand, one hundred twelve".

Divisors: 1 2 4 7 8 14 28 47 56 94 151 188 302 329 376 604 658 1057 1208 1316 2114 2209 2632 4228 4418 7097 8456 8836 14194 15463 17672 28388 30926 49679 56776 61852 99358 123704 198716 333559 397432 667118 1189553 1334236 2334913 2379106 2668472 4669826 4758212 8326871 9339652 9516424 16653742 18679304 33307484 55908991 66614968 111817982 179622503 223635964 359245006 391362937 447271928 718490012 782725874 1257357521 1436980024 1565451748 2514715042 2627722577 3130903496 5029430084 5255445154 8442257641 10058860168 10510890308 16884515282 18394058039 21021780616 33769030564 36788116078 59095803487 67538061128 73576232156 118191606974 147152464312 236383213948 396786109127 472766427896 793572218254 1587144436508 2777502763889 3174288873016 5555005527778 11110011055556 22220022111112