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225743161734 = 23441263129229
BaseRepresentation
bin1101001000111101010…
…1110100100110000110
3210120200102120210120000
43102033111310212012
512144310222133414
6251412135222130
722211061133446
oct3221725644606
9716612523500
10225743161734
1187812147682
1237900b17946
13183977c775c
14acd703a126
155d134e2b09
hex348f574986

225743161734 has 80 divisors (see below), whose sum is σ = 520143513120. Its totient is φ = 73132709760.

The previous prime is 225743161733. The next prime is 225743161747. The reversal of 225743161734 is 437161347522.

It is a happy number.

225743161734 is a `hidden beast` number, since 2 + 2 + 574 + 3 + 1 + 6 + 1 + 73 + 4 = 666.

225743161734 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 225743161734.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225743161733) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1682232 + ... + 1811460.

It is an arithmetic number, because the mean of its divisors is an integer number (6501793914).

Almost surely, 2225743161734 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225743161734, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260071756560).

225743161734 is an abundant number, since it is smaller than the sum of its proper divisors (294400351386).

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

225743161734 is a wasteful number, since it uses less digits than its factorization.

225743161734 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 129547 (or 129538 counting only the distinct ones).

The product of its digits is 846720, while the sum is 45.

The spelling of 225743161734 in words is "two hundred twenty-five billion, seven hundred forty-three million, one hundred sixty-one thousand, seven hundred thirty-four".

Divisors: 1 2 3 6 9 18 27 41 54 81 82 123 162 246 263 369 526 738 789 1107 1578 2214 2367 3321 4734 6642 7101 10783 14202 21303 21566 32349 42606 64698 97047 129229 194094 258458 291141 387687 582282 775374 873423 1163061 1746846 2326122 3489183 5298389 6978366 10467549 10596778 15895167 20935098 31790334 33987227 47685501 67974454 95371002 101961681 143056503 203923362 286113006 305885043 429169509 611770086 858339018 917655129 1393476307 1835310258 2752965387 2786952614 4180428921 5505930774 8360857842 12541286763 25082573526 37623860289 75247720578 112871580867 225743161734