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2268680220 = 22325109115631
BaseRepresentation
bin1000011100111001…
…0101000000011100
312212002220220012100
42013032111000130
514121240231340
61013041405100
7110135315022
oct20716250034
95762826170
102268680220
11a6467a034
12533939790
132a202a541
14177438712
15d4286830
hex8739501c

2268680220 has 72 divisors (see below), whose sum is σ = 6944857920. Its totient is φ = 599425920.

The previous prime is 2268680207. The next prime is 2268680231. The reversal of 2268680220 is 220868622.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38196 + ... + 77435.

It is an arithmetic number, because the mean of its divisors is an integer number (96456360).

Almost surely, 22268680220 is an apocalyptic number.

2268680220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2268680220 is an abundant number, since it is smaller than the sum of its proper divisors (4676177700).

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

2268680220 is a wasteful number, since it uses less digits than its factorization.

2268680220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115755 (or 115750 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 36.

The square root of 2268680220 is about 47630.6647024792. The cubic root of 2268680220 is about 1313.9870796531.

The spelling of 2268680220 in words is "two billion, two hundred sixty-eight million, six hundred eighty thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 30 36 45 60 90 109 180 218 327 436 545 654 981 1090 1308 1635 1962 2180 3270 3924 4905 6540 9810 19620 115631 231262 346893 462524 578155 693786 1040679 1156310 1387572 1734465 2081358 2312620 3468930 4162716 5203395 6937860 10406790 12603779 20813580 25207558 37811337 50415116 63018895 75622674 113434011 126037790 151245348 189056685 226868022 252075580 378113370 453736044 567170055 756226740 1134340110 2268680220