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225032545311 = 37731491815443
BaseRepresentation
bin1101000110010011111…
…1000010010000011111
3210111211220102202002020
43101210333002100133
512141331312422221
6251213432231223
722154342034450
oct3214477022037
9714756382066
10225032545311
1187488006a82
1237742b3b513
13182b350c072
14ac6a8db127
155cc0e24ac6
hex3464fc241f

225032545311 has 64 divisors (see below), whose sum is σ = 351935001600. Its totient is φ = 125258296320.

The previous prime is 225032545291. The next prime is 225032545321. The reversal of 225032545311 is 113545230522.

225032545311 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 225032545311 - 223 = 225024156703 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225032545321) 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 63 ways as a sum of consecutive naturals, for example, 41340756 + ... + 41346198.

It is an arithmetic number, because the mean of its divisors is an integer number (5498984400).

Almost surely, 2225032545311 is an apocalyptic number.

225032545311 is a gapful number since it is divisible by the number (21) formed by its first and last digit.

225032545311 is a deficient number, since it is larger than the sum of its proper divisors (126902456289).

225032545311 is a wasteful number, since it uses less digits than its factorization.

225032545311 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5856.

The product of its (nonzero) digits is 36000, while the sum is 33.

Adding to 225032545311 its reverse (113545230522), we get a palindrome (338577775833).

The spelling of 225032545311 in words is "two hundred twenty-five billion, thirty-two million, five hundred forty-five thousand, three hundred eleven".

Divisors: 1 3 7 21 73 149 181 219 447 511 543 1043 1267 1533 3129 3801 5443 10877 13213 16329 26969 32631 38101 39639 76139 80907 92491 114303 188783 228417 277473 397339 566349 811007 985183 1192017 1968737 2433021 2781373 2955549 5677049 5906211 6896281 8344119 13781159 17031147 20688843 41343477 59203511 71918359 146792267 177610533 215755077 414424577 440376801 503428513 1027545869 1243273731 1510285539 3082637607 10715835491 32147506473 75010848437 225032545311