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2205625260 = 223519672431
BaseRepresentation
bin1000001101110111…
…0010101110101100
312200201021101001110
42003131302232230
514004120002020
61002510112020
7105441335226
oct20335625654
95621241043
102205625260
11a320219a3
125167ab610
13291c50c07
1416cd03416
15cd97d8e0
hex83772bac

2205625260 has 144 divisors (see below), whose sum is σ = 6614576640. Its totient is φ = 547620480.

The previous prime is 2205625249. The next prime is 2205625309. The reversal of 2205625260 is 625265022.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

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, 5117245 + ... + 5117675.

It is an arithmetic number, because the mean of its divisors is an integer number (45934560).

Almost surely, 22205625260 is an apocalyptic number.

2205625260 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 2205625260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3307288320).

2205625260 is an abundant number, since it is smaller than the sum of its proper divisors (4408951380).

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

2205625260 is a wasteful number, since it uses less digits than its factorization.

2205625260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 596 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 2205625260 is about 46964.0847882720. The cubic root of 2205625260 is about 1301.6990132497.

The spelling of 2205625260 in words is "two billion, two hundred five million, six hundred twenty-five thousand, two hundred sixty".

Divisors: 1 2 3 4 5 6 10 12 15 19 20 30 38 57 60 67 76 95 114 134 190 201 228 268 285 335 380 402 431 570 670 804 862 1005 1140 1273 1293 1340 1724 2010 2155 2546 2586 3819 4020 4310 4489 5092 5172 6365 6465 7638 8189 8620 8978 12730 12930 13467 15276 16378 17956 19095 22445 24567 25460 25860 26934 28877 32756 38190 40945 44890 49134 53868 57754 67335 76380 81890 85291 86631 89780 98268 115508 122835 134670 144385 163780 170582 173262 245670 255873 269340 288770 341164 346524 426455 433155 491340 511746 548663 577540 852910 866310 1023492 1097326 1279365 1645989 1705820 1732620 1934759 2194652 2558730 2743315 3291978 3869518 5117460 5486630 5804277 6583956 7739036 8229945 9673795 10973260 11608554 16459890 19347590 23217108 29021385 32919780 36760421 38695180 58042770 73520842 110281263 116085540 147041684 183802105 220562526 367604210 441125052 551406315 735208420 1102812630 2205625260