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2201020220 = 225724154779
BaseRepresentation
bin1000001100110000…
…1110011100111100
312200101121102010102
42003030032130330
514001430121340
61002223300232
7105354235400
oct20314163474
95611542112
102201020220
11a2a467083
1251514a678
13290ccab39
1416c465100
15cd36e215
hex8330e73c

2201020220 has 72 divisors (see below), whose sum is σ = 5508019440. Its totient is φ = 736216320.

The previous prime is 2201020201. The next prime is 2201020223. The reversal of 2201020220 is 220201022.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2201020223) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12791 + ... + 67569.

It is an arithmetic number, because the mean of its divisors is an integer number (76500270).

Almost surely, 22201020220 is an apocalyptic number.

2201020220 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 2201020220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2754009720).

2201020220 is an abundant number, since it is smaller than the sum of its proper divisors (3306999220).

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

2201020220 is a wasteful number, since it uses less digits than its factorization.

2201020220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 54843 (or 54834 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 11.

The square root of 2201020220 is about 46915.0319194179. The cubic root of 2201020220 is about 1300.7924596317.

Adding to 2201020220 its reverse (220201022), we get a palindrome (2421221242).

The spelling of 2201020220 in words is "two billion, two hundred one million, twenty thousand, two hundred twenty".

Divisors: 1 2 4 5 7 10 14 20 28 35 41 49 70 82 98 140 164 196 205 245 287 410 490 574 820 980 1148 1435 2009 2870 4018 5740 8036 10045 20090 40180 54779 109558 219116 273895 383453 547790 766906 1095580 1533812 1917265 2245939 2684171 3834530 4491878 5368342 7669060 8983756 10736684 11229695 13420855 15721573 22459390 26841710 31443146 44918780 53683420 62886292 78607865 110051011 157215730 220102022 314431460 440204044 550255055 1100510110 2201020220