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2208894361380 = 22325716071090909
BaseRepresentation
bin100000001001001100010…
…111010001111100100100
321211011112122102220112100
4200021030113101330210
5242142303424031010
64410430240052100
7315405314164560
oct40111427217444
97734478386470
102208894361380
11781872310373
122b8122304030
131303b4497675
1478ca7d286a0
153c6d22132c0
hex2024c5d1f24

2208894361380 has 144 divisors (see below), whose sum is σ = 7662272567040. Its totient is φ = 504575495424.

The previous prime is 2208894361369. The next prime is 2208894361393. The reversal of 2208894361380 is 831634988022.

2208894361380 is a `hidden beast` number, since 220 + 8 + 8 + 9 + 4 + 36 + 1 + 380 = 666.

It is a super-3 number, since 3×22088943613803 (a number of 38 digits) contains 333 as substring.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1479366 + ... + 2570274.

It is an arithmetic number, because the mean of its divisors is an integer number (53210226160).

Almost surely, 22208894361380 is an apocalyptic number.

2208894361380 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2208894361380, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3831136283520).

2208894361380 is an abundant number, since it is smaller than the sum of its proper divisors (5453378205660).

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

2208894361380 is a wasteful number, since it uses less digits than its factorization.

2208894361380 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1092538 (or 1092533 counting only the distinct ones).

The product of its (nonzero) digits is 3981312, while the sum is 54.

The spelling of 2208894361380 in words is "two trillion, two hundred eight billion, eight hundred ninety-four million, three hundred sixty-one thousand, three hundred eighty".

Divisors: 1 2 3 4 5 6 7 9 10 12 14 15 18 20 21 28 30 35 36 42 45 60 63 70 84 90 105 126 140 180 210 252 315 420 630 1260 1607 3214 4821 6428 8035 9642 11249 14463 16070 19284 22498 24105 28926 32140 33747 44996 48210 56245 57852 67494 72315 96420 101241 112490 134988 144630 168735 202482 224980 289260 337470 404964 506205 674940 1012410 1090909 2024820 2181818 3272727 4363636 5454545 6545454 7636363 9818181 10909090 13090908 15272726 16363635 19636362 21818180 22909089 30545452 32727270 38181815 39272724 45818178 49090905 65454540 68727267 76363630 91636356 98181810 114545445 137454534 152727260 196363620 229090890 274909068 343636335 458181780 687272670 1374545340 1753090763 3506181526 5259272289 7012363052 8765453815 10518544578 12271635341 15777816867 17530907630 21037089156 24543270682 26296361445 31555633734 35061815260 36814906023 49086541364 52592722890 61358176705 63111267468 73629812046 78889084335 105185445780 110444718069 122716353410 147259624092 157778168670 184074530115 220889436138 245432706820 315556337340 368149060230 441778872276 552223590345 736298120460 1104447180690 2208894361380