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2205220220 = 225723798669
BaseRepresentation
bin1000001101110000…
…1111110101111100
312200200111210102222
42003130033311330
514004014021340
61002453304512
7105435030320
oct20334176574
95620453388
102205220220
11a31875655
12516635138
13291b3b748
1416cc39980
15cd8ed8b5
hex8370fd7c

2205220220 has 96 divisors (see below), whose sum is σ = 5593190400. Its totient is φ = 713965824.

The previous prime is 2205220201. The next prime is 2205220261. The reversal of 2205220220 is 220225022.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 250046 + ... + 258714.

It is an arithmetic number, because the mean of its divisors is an integer number (58262400).

Almost surely, 22205220220 is an apocalyptic number.

2205220220 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 2205220220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2796595200).

2205220220 is an abundant number, since it is smaller than the sum of its proper divisors (3387970180).

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

2205220220 is a wasteful number, since it uses less digits than its factorization.

2205220220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8787 (or 8785 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 17.

The square root of 2205220220 is about 46959.7723589031. The cubic root of 2205220220 is about 1301.6193272373.

Adding to 2205220220 its reverse (220225022), we get a palindrome (2425445242).

The spelling of 2205220220 in words is "two billion, two hundred five million, two hundred twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 23 28 35 46 70 79 92 115 140 158 161 230 316 322 395 460 553 644 790 805 1106 1580 1610 1817 2212 2765 3220 3634 5530 7268 8669 9085 11060 12719 17338 18170 25438 34676 36340 43345 50876 60683 63595 86690 121366 127190 173380 199387 242732 254380 303415 398774 606830 684851 797548 996935 1213660 1369702 1395709 1993870 2739404 2791418 3424255 3987740 4793957 5582836 6848510 6978545 9587914 13697020 13957090 15751573 19175828 23969785 27914180 31503146 47939570 63006292 78757865 95879140 110261011 157515730 220522022 315031460 441044044 551305055 1102610110 2205220220