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2255452545522 = 231123710128231
BaseRepresentation
bin100000110100100011011…
…100101010000111110010
321222121201100212201101210
4200310203130222013302
5243423131322424042
64444050211340550
7321644134213011
oct40644334520762
97877640781353
102255452545522
1179a594187200
123051565b1756
131348c4160357
147b2434c4a78
153da09840a9c
hex20d2372a1f2

2255452545522 has 144 divisors (see below), whose sum is σ = 5143817423808. Its totient is φ = 658334160000.

The previous prime is 2255452545461. The next prime is 2255452545529.

2255452545522 is nontrivially palindromic in base 10.

It is not an unprimeable number, because it can be changed into a prime (2255452545529) 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 71 ways as a sum of consecutive naturals, for example, 274015147 + ... + 274023377.

It is an arithmetic number, because the mean of its divisors is an integer number (35720954332).

Almost surely, 22255452545522 is an apocalyptic number.

2255452545522 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 2255452545522, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2571908711904).

2255452545522 is an abundant number, since it is smaller than the sum of its proper divisors (2888364878286).

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

2255452545522 is a wasteful number, since it uses less digits than its factorization.

2255452545522 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8497 (or 8385 counting only the distinct ones).

The product of its digits is 8000000, while the sum is 48.

The spelling of 2255452545522 in words is "two trillion, two hundred fifty-five billion, four hundred fifty-two million, five hundred forty-five thousand, five hundred twenty-two".

Divisors: 1 2 3 6 11 22 33 37 66 74 101 111 121 202 222 242 303 363 407 606 726 814 1111 1221 2222 2442 3333 3737 4477 6666 7474 8231 8954 10201 11211 12221 13431 16462 20402 22422 24442 24693 26862 30603 36663 41107 49386 61206 73326 82214 90541 112211 123321 181082 224422 246642 271623 304547 336633 377437 452177 543246 609094 673266 754874 831331 904354 913641 995951 1132311 1234321 1356531 1662662 1827282 1991902 2264622 2468642 2493993 2713062 2987853 3350017 3702963 4151807 4987986 5975706 6700034 7405926 8303614 9144641 10050051 12455421 18289282 20100102 24910842 27433923 30759247 36850187 45669877 54867846 61518494 73700374 83964431 91339754 92277741 100591051 110550561 137009631 167928862 184555482 201182102 221101122 251893293 274019262 301773153 338351717 503786586 603546306 676703434 923608741 1015055151 1847217482 2030110302 2770826223 3106683947 3721868887 5541652446 6213367894 7443737774 9320051841 10159696151 11165606661 18640103682 20319392302 22331213322 30479088453 34173523417 60958176906 68347046834 102520570251 205041140502 375908757587 751817515174 1127726272761 2255452545522