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232221343122232 = 231011076833932659
BaseRepresentation
bin110100110011010000111110…
…101010101000001100111000
31010110020010212200022022002121
4310303100332222220030320
5220414203302314402412
62141521002353011024
766625303236014212
oct6463207652501470
91113203780268077
10232221343122232
1167aa1578215a82
1222066075b53a74
139c764bccb1c69
14414b8043715b2
151bca923de3107
hexd3343eaa8338

232221343122232 has 64 divisors (see below), whose sum is σ = 444485593065600. Its totient is φ = 113719884854400.

The previous prime is 232221343122211. The next prime is 232221343122233.

It is a happy number.

232221343122232 is nontrivially palindromic in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232221343122233) 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 15 ways as a sum of consecutive naturals, for example, 57083119 + ... + 61015777.

It is an arithmetic number, because the mean of its divisors is an integer number (6945087391650).

Almost surely, 2232221343122232 is an apocalyptic number.

It is an amenable number.

232221343122232 is a deficient number, since it is larger than the sum of its proper divisors (212264249943368).

232221343122232 is a wasteful number, since it uses less digits than its factorization.

232221343122232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3933556 (or 3933552 counting only the distinct ones).

The product of its digits is 82944, while the sum is 34.

The spelling of 232221343122232 in words is "two hundred thirty-two trillion, two hundred twenty-one billion, three hundred forty-three million, one hundred twenty-two thousand, two hundred thirty-two".

Divisors: 1 2 4 8 101 107 202 214 404 428 683 808 856 1366 2732 5464 10807 21614 43228 68983 73081 86456 137966 146162 275932 292324 551864 584648 3932659 7381181 7865318 14762362 15730636 29524724 31461272 59049448 397198559 420794513 794397118 841589026 1588794236 1683178052 2686006097 3177588472 3366356104 5372012194 10744024388 21488048776 42500245813 85000491626 170000983252 271286615797 287402652379 340001966504 542573231594 574805304758 1085146463188 1149610609516 2170292926376 2299221219032 29027667890279 58055335780558 116110671561116 232221343122232