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234224202422432 = 2589162150735129
BaseRepresentation
bin110101010000011010010010…
…011000100001100010100000
31010201022121121101102122120002
4311100122102120201202200
5221200012131310004212
62150053040234435132
7100223066041121405
oct6520322230414240
91121277541378502
10234224202422432
11686a3a21067382
122232a277592aa8
13a09032aa36b31
1441ba7248802ac
151c12a97e20ac2
hexd506926218a0

234224202422432 has 48 divisors (see below), whose sum is σ = 466597799476200. Its totient is φ = 115724797562880.

The previous prime is 234224202422429. The next prime is 234224202422471.

234224202422432 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in 4 ways, for example, as 136121595757456 + 98102606664976 = 11667116^2 + 9904676^2 .

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 7 ways as a sum of consecutive naturals, for example, 20750957 + ... + 29984172.

Almost surely, 2234224202422432 is an apocalyptic number.

It is an amenable number.

234224202422432 is a deficient number, since it is larger than the sum of its proper divisors (232373597053768).

234224202422432 is a wasteful number, since it uses less digits than its factorization.

234224202422432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50736849 (or 50736841 counting only the distinct ones).

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

It can be divided in two parts, 23422420 and 2422432, that added together give a palindrome (25844852).

The spelling of 234224202422432 in words is "two hundred thirty-four trillion, two hundred twenty-four billion, two hundred two million, four hundred twenty-two thousand, four hundred thirty-two".

Divisors: 1 2 4 8 16 32 89 178 356 712 1424 1621 2848 3242 6484 12968 25936 51872 144269 288538 577076 1154152 2308304 4616608 50735129 101470258 202940516 405881032 811762064 1623524128 4515426481 9030852962 18061705924 36123411848 72246823696 82241644109 144493647392 164483288218 328966576436 657933152872 1315866305744 2631732611488 7319506325701 14639012651402 29278025302804 58556050605608 117112101211216 234224202422432