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34222120222224 = 2431187137438841
BaseRepresentation
bin1111100011111111101010…
…10100011011111000010000
311111011121021101202212021110
413301333311110123320100
513441143400234102344
6200441231444253320
710131316020213204
oct761776524337020
9144147241685243
1034222120222224
11a9a4579773210
123a085869a1240
13161319427cc2c
148645064c4b04
153e52e11833b9
hex1f1ff551be10

34222120222224 has 80 divisors (see below), whose sum is σ = 96455238951744. Its totient is φ = 10369147852800.

The previous prime is 34222120222207. The next prime is 34222120222231. The reversal of 34222120222224 is 42222202122243.

It is a junction number, because it is equal to n+sod(n) for n = 34222120222191 and 34222120222200.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 881044 + ... + 8319884.

Almost surely, 234222120222224 is an apocalyptic number.

It is an amenable number.

34222120222224 is an abundant number, since it is smaller than the sum of its proper divisors (62233118729520).

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

34222120222224 is a wasteful number, since it uses less digits than its factorization.

34222120222224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7447576 (or 7447570 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 30.

Adding to 34222120222224 its reverse (42222202122243), we get a palindrome (76444322344467).

The spelling of 34222120222224 in words is "thirty-four trillion, two hundred twenty-two billion, one hundred twenty million, two hundred twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 33 44 48 66 88 132 176 264 528 8713 17426 26139 34852 52278 69704 95843 104556 139408 191686 209112 287529 383372 418224 575058 766744 1150116 1533488 2300232 4600464 7438841 14877682 22316523 29755364 44633046 59510728 81827251 89266092 119021456 163654502 178532184 245481753 327309004 357064368 490963506 654618008 981927012 1309236016 1963854024 3927708048 64814621633 129629243266 194443864899 259258486532 388887729798 518516973064 712960837963 777775459596 1037033946128 1425921675926 1555550919192 2138882513889 2851843351852 3111101838384 4277765027778 5703686703704 8555530055556 11407373407408 17111060111112 34222120222224