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2168852220 = 223355375781
BaseRepresentation
bin1000000101000110…
…0000111011111100
312121011002002221000
42001101200323330
513420211232340
6555114010300
7104513640213
oct20121407374
95534062830
102168852220
11a13295857
12506416990
13287447112
1416809007a
15ca617d30
hex81460efc

2168852220 has 96 divisors (see below), whose sum is σ = 6874943040. Its totient is φ = 567440640.

The previous prime is 2168852207. The next prime is 2168852221. The reversal of 2168852220 is 222588612.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2168852221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9271 + ... + 66510.

It is an arithmetic number, because the mean of its divisors is an integer number (71613990).

Almost surely, 22168852220 is an apocalyptic number.

2168852220 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 2168852220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3437471520).

2168852220 is an abundant number, since it is smaller than the sum of its proper divisors (4706090820).

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

2168852220 is a wasteful number, since it uses less digits than its factorization.

2168852220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75852 (or 75844 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 2168852220 is about 46570.9375039842. The cubic root of 2168852220 is about 1294.4242895478.

The spelling of 2168852220 in words is "two billion, one hundred sixty-eight million, eight hundred fifty-two thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 53 54 60 90 106 108 135 159 180 212 265 270 318 477 530 540 636 795 954 1060 1431 1590 1908 2385 2862 3180 4770 5724 7155 9540 14310 28620 75781 151562 227343 303124 378905 454686 682029 757810 909372 1136715 1364058 1515620 2046087 2273430 2728116 3410145 4016393 4092174 4546860 6820290 8032786 8184348 10230435 12049179 13640580 16065572 20081965 20460870 24098358 36147537 40163930 40921740 48196716 60245895 72295074 80327860 108442611 120491790 144590148 180737685 216885222 240983580 361475370 433770444 542213055 722950740 1084426110 2168852220