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2250366160 = 245721733769
BaseRepresentation
bin1000011000100001…
…1101110011010000
312210211110110000211
42012020131303100
514102043204120
61011145053504
7106523540200
oct20610356320
95724413024
102250366160
11a55300449
12529787294
1329b2b7613
14174c2c400
15d286a25a
hex8621dcd0

2250366160 has 120 divisors (see below), whose sum is σ = 6444531720. Its totient is φ = 726147072.

The previous prime is 2250366119. The next prime is 2250366169. The reversal of 2250366160 is 616630522.

It can be written as a sum of positive squares in 4 ways, for example, as 844716096 + 1405650064 = 29064^2 + 37492^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2250366169) by changing a digit.

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, 49756 + ... + 83524.

It is an arithmetic number, because the mean of its divisors is an integer number (53704431).

Almost surely, 22250366160 is an apocalyptic number.

2250366160 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 2250366160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3222265860).

2250366160 is an abundant number, since it is smaller than the sum of its proper divisors (4194165560).

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

2250366160 is a wasteful number, since it uses less digits than its factorization.

2250366160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33813 (or 33800 counting only the distinct ones).

The product of its (nonzero) digits is 12960, while the sum is 31.

The square root of 2250366160 is about 47438.0244108036. The cubic root of 2250366160 is about 1310.4417755206.

Adding to 2250366160 its reverse (616630522), we get a palindrome (2866996682).

The spelling of 2250366160 in words is "two billion, two hundred fifty million, three hundred sixty-six thousand, one hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 17 20 28 34 35 40 49 56 68 70 80 85 98 112 119 136 140 170 196 238 245 272 280 340 392 476 490 560 595 680 784 833 952 980 1190 1360 1666 1904 1960 2380 3332 3920 4165 4760 6664 8330 9520 13328 16660 33320 33769 66640 67538 135076 168845 236383 270152 337690 472766 540304 574073 675380 945532 1148146 1181915 1350760 1654681 1891064 2296292 2363830 2701520 2870365 3309362 3782128 4018511 4592584 4727660 5740730 6618724 8037022 8273405 9185168 9455320 11481460 13237448 16074044 16546810 18910640 20092555 22962920 26474896 28129577 32148088 33093620 40185110 45925840 56259154 64296176 66187240 80370220 112518308 132374480 140647885 160740440 225036616 281295770 321480880 450073232 562591540 1125183080 2250366160