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2245122660 = 22351113192579
BaseRepresentation
bin1000010111010001…
…1101101001100100
312210110121001022010
42011310131221210
514044222411120
61010440434220
7106431141054
oct20564355144
95713531263
102245122660
11a52349980
12527a78970
1329a19ca61
14174265564
15d21817e0
hex85d1da64

2245122660 has 96 divisors (see below), whose sum is σ = 6865689600. Its totient is φ = 543648640.

The previous prime is 2245122653. The next prime is 2245122683. The reversal of 2245122660 is 662215422.

It is a happy number.

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

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, 869251 + ... + 871829.

It is an arithmetic number, because the mean of its divisors is an integer number (71517600).

Almost surely, 22245122660 is an apocalyptic number.

2245122660 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 2245122660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3432844800).

2245122660 is an abundant number, since it is smaller than the sum of its proper divisors (4620566940).

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

2245122660 is a wasteful number, since it uses less digits than its factorization.

2245122660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3921 (or 3919 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 30.

The square root of 2245122660 is about 47382.7253331845. The cubic root of 2245122660 is about 1309.4231790286.

The spelling of 2245122660 in words is "two billion, two hundred forty-five million, one hundred twenty-two thousand, six hundred sixty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 66 110 132 165 220 330 660 1319 2579 2638 3957 5158 5276 6595 7737 7914 10316 12895 13190 14509 15474 15828 19785 25790 26380 28369 29018 30948 38685 39570 43527 51580 56738 58036 72545 77370 79140 85107 87054 113476 141845 145090 154740 170214 174108 217635 283690 290180 340428 425535 435270 567380 851070 870540 1702140 3401701 6803402 10205103 13606804 17008505 20410206 34017010 37418711 40820412 51025515 68034020 74837422 102051030 112256133 149674844 187093555 204102060 224512266 374187110 449024532 561280665 748374220 1122561330 2245122660