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34222244222243 = 7111734789536447
BaseRepresentation
bin1111100011111111111001…
…01101011101010100100011
311111011121121001002201022202
413301333330231131110203
513441144124010102433
6200441252034123415
710131322054204250
oct761777455352443
9144147531081282
1034222244222243
11a9a4632767270
123a0860042056b
1316131b3b7771c
14864518b62427
153e52ebec8ee8
hex1f1ffcb5d523

34222244222243 has 32 divisors (see below), whose sum is σ = 42922363207680. Its totient is φ = 26506955583360.

The previous prime is 34222244222213. The next prime is 34222244222249.

34222244222243 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 34222244222243 - 28 = 34222244221987 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 34222244222197 and 34222244222206.

It is not an unprimeable number, because it can be changed into a prime (34222244222249) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 63526046 + ... + 64062492.

It is an arithmetic number, because the mean of its divisors is an integer number (1341323850240).

Almost surely, 234222244222243 is an apocalyptic number.

34222244222243 is a deficient number, since it is larger than the sum of its proper divisors (8700118985437).

34222244222243 is a wasteful number, since it uses less digits than its factorization.

34222244222243 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 541427.

The product of its digits is 589824, while the sum is 38.

It can be divided in two parts, 3422224 and 4222243, that added together give a palindrome (7644467).

The spelling of 34222244222243 in words is "thirty-four trillion, two hundred twenty-two billion, two hundred forty-four million, two hundred twenty-two thousand, two hundred forty-three".

Divisors: 1 7 11 77 173 1211 1903 4789 13321 33523 52679 368753 536447 828497 3755129 5799479 5900917 9113467 41306419 63794269 92805331 649637317 1020858641 2569044683 7146010487 17983312781 28259491513 197816440591 444444730159 3111113111113 4888892031749 34222244222243