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232220054314143 = 32719223869962853
BaseRepresentation
bin110100110011001111110001…
…110110001101110010011111
31010110020000112212012001202200
4310303033301312031302133
5220414143132401023033
62141520230433222543
766625226266226220
oct6463176166156237
91113200485161680
10232220054314143
1167aa0a76772425
1222065976401a53
139c76345c9521c
14414b721125247
151bca89abb4013
hexd333f1d8dc9f

232220054314143 has 48 divisors (see below), whose sum is σ = 405333092935680. Its totient is φ = 125149376037312.

The previous prime is 232220054314139. The next prime is 232220054314177. The reversal of 232220054314143 is 341413450022232.

232220054314143 is a `hidden beast` number, since 2 + 3 + 2 + 2 + 200 + 5 + 4 + 31 + 414 + 3 = 666.

It is not a de Polignac number, because 232220054314143 - 22 = 232220054314139 is a prime.

It is a super-2 number, since 2×2322200543141432 (a number of 30 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 232220054314098 and 232220054314107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (232220054324143) 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 47 ways as a sum of consecutive naturals, for example, 434714496 + ... + 435248357.

It is an arithmetic number, because the mean of its divisors is an integer number (8444439436160).

Almost surely, 2232220054314143 is an apocalyptic number.

232220054314143 is a deficient number, since it is larger than the sum of its proper divisors (173113038621537).

232220054314143 is a wasteful number, since it uses less digits than its factorization.

232220054314143 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 869963108 (or 869963105 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 36.

The spelling of 232220054314143 in words is "two hundred thirty-two trillion, two hundred twenty billion, fifty-four million, three hundred fourteen thousand, one hundred forty-three".

Divisors: 1 3 7 9 19 21 57 63 133 171 223 399 669 1197 1561 2007 4237 4683 12711 14049 29659 38133 88977 266931 869962853 2609888559 6089739971 7829665677 16529294207 18269219913 49587882621 54807659739 115705059449 148763647863 194001716219 347115178347 582005148657 1041345535041 1358012013533 1746015445971 3686032608161 4074036040599 11058097824483 12222108121797 25802228257127 33174293473449 77406684771381 232220054314143