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2285405668 = 22721329157197
BaseRepresentation
bin1000100000111000…
…1000010111100100
312220021101122012101
42020032020113210
514140030440133
61014440101444
7110430425200
oct21016102744
95807348171
102285405668
11a73063117
12539464884
132a5635360
1417974db00
15d598c37d
hex883885e4

2285405668 has 144 divisors (see below), whose sum is σ = 5242572720. Its totient is φ = 862977024.

The previous prime is 2285405621. The next prime is 2285405669. The reversal of 2285405668 is 8665045822.

It can be written as a sum of positive squares in 8 ways, for example, as 2286144 + 2283119524 = 1512^2 + 47782^2 .

It is not an unprimeable number, because it can be changed into a prime (2285405669) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 11600946 + ... + 11601142.

It is an arithmetic number, because the mean of its divisors is an integer number (36406755).

Almost surely, 22285405668 is an apocalyptic number.

2285405668 is a gapful number since it is divisible by the number (28) 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 2285405668, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2621286360).

2285405668 is an abundant number, since it is smaller than the sum of its proper divisors (2957167052).

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

2285405668 is a wasteful number, since it uses less digits than its factorization.

2285405668 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 414 (or 405 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 46.

The square root of 2285405668 is about 47805.9166631077. The cubic root of 2285405668 is about 1317.2082234186.

The spelling of 2285405668 in words is "two billion, two hundred eighty-five million, four hundred five thousand, six hundred sixty-eight".

Divisors: 1 2 4 7 13 14 26 28 29 49 52 58 91 98 116 157 182 196 197 203 314 364 377 394 406 628 637 754 788 812 1099 1274 1379 1421 1508 2041 2198 2548 2561 2639 2758 2842 4082 4396 4553 5122 5278 5516 5684 5713 7693 8164 9106 9653 10244 10556 11426 14287 15386 17927 18212 18473 19306 22852 28574 30772 30929 31871 35854 36946 38612 39991 57148 59189 61858 63742 71708 73892 74269 79982 100009 118378 123716 125489 127484 148538 159964 200018 216503 223097 236756 250978 279937 297076 400036 402077 414323 433006 446194 501956 519883 559874 804154 828646 866012 892388 896941 1039766 1119748 1515521 1608308 1657292 1793882 2079532 2814539 2900261 3031042 3587764 3639181 5629078 5800522 6062084 6278587 7278362 11258156 11601044 11660233 12557174 14556724 19701773 23320466 25114348 39403546 43950109 46640932 78807092 81621631 87900218 163243262 175800436 326486524 571351417 1142702834 2285405668