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228553481034 = 2344783503719
BaseRepresentation
bin1101010011011011011…
…0010101101101001010
3210211221021200210220000
43110312312111231022
512221034142343114
6252555050143430
722340524351254
oct3246666255512
9724837623800
10228553481034
1188a2453310a
1238366121b76
1318724ac8998
14b0c2388cd4
155e2a0b9e09
hex3536d95b4a

228553481034 has 160 divisors (see below), whose sum is σ = 531116974080. Its totient is φ = 73416487968.

The previous prime is 228553481029. The next prime is 228553481063. The reversal of 228553481034 is 430184355822.

228553481034 is a `hidden beast` number, since 2 + 2 + 8 + 5 + 534 + 8 + 103 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 317876527 + ... + 317877245.

It is an arithmetic number, because the mean of its divisors is an integer number (3319481088).

Almost surely, 2228553481034 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 228553481034, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265558487040).

228553481034 is an abundant number, since it is smaller than the sum of its proper divisors (302563493046).

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

228553481034 is a wasteful number, since it uses less digits than its factorization.

228553481034 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1357 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 228553481034 in words is "two hundred twenty-eight billion, five hundred fifty-three million, four hundred eighty-one thousand, thirty-four".

Divisors: 1 2 3 6 9 18 27 47 54 81 83 94 141 162 166 249 282 423 498 503 719 747 846 1006 1269 1438 1494 1509 2157 2241 2538 3018 3807 3901 4314 4482 4527 6471 6723 7614 7802 9054 11703 12942 13446 13581 19413 23406 23641 27162 33793 35109 38826 40743 41749 47282 58239 59677 67586 70218 70923 81486 83498 101379 105327 116478 119354 125247 141846 179031 202758 210654 212769 250494 304137 315981 358062 361657 375741 425538 537093 608274 631962 638307 723314 751482 912411 1074186 1084971 1127223 1276614 1611279 1824822 1914921 1962203 2169942 2254446 2737233 2804819 3222558 3254913 3381669 3829842 3924406 4833837 5474466 5609638 5886609 6509826 6763338 8414457 9667674 9764739 11773218 16828914 16997879 17659827 19529478 25243371 29294217 30017531 33995758 35319654 50486742 50993637 52979481 58588434 60035062 75730113 90052593 101987274 105958962 151460226 152980911 158938443 180105186 227190339 270157779 305961822 317876886 454380678 458942733 540315558 810473337 917885466 1376828199 1410823957 1620946674 2431420011 2753656398 2821647914 4232471871 4862840022 8464943742 12697415613 25394831226 38092246839 76184493678 114276740517 228553481034