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2125230360 = 2335112370001
BaseRepresentation
bin111111010101100…
…0111000100011000
312111002222212222120
41332223013010120
513323024332420
6550515021240
7103444105611
oct17653070430
95432885876
102125230360
119a0701030
124b389a820
1327b3b2b76
14162376c08
15c689cd40
hex7eac7118

2125230360 has 128 divisors (see below), whose sum is σ = 7257807360. Its totient is φ = 492800000.

The previous prime is 2125230347. The next prime is 2125230361. The reversal of 2125230360 is 630325212.

2125230360 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 2125230360.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2125230361) 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, 4641 + ... + 65360.

It is an arithmetic number, because the mean of its divisors is an integer number (56701620).

Almost surely, 22125230360 is an apocalyptic number.

2125230360 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 2125230360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3628903680).

2125230360 is an abundant number, since it is smaller than the sum of its proper divisors (5132577000).

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

2125230360 is a wasteful number, since it uses less digits than its factorization.

2125230360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70049 (or 70045 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 24.

The square root of 2125230360 is about 46100.2208237661. The cubic root of 2125230360 is about 1285.6872501546.

Adding to 2125230360 its reverse (630325212), we get a palindrome (2755555572).

The spelling of 2125230360 in words is "two billion, one hundred twenty-five million, two hundred thirty thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 23 24 30 33 40 44 46 55 60 66 69 88 92 110 115 120 132 138 165 184 220 230 253 264 276 330 345 440 460 506 552 660 690 759 920 1012 1265 1320 1380 1518 2024 2530 2760 3036 3795 5060 6072 7590 10120 15180 30360 70001 140002 210003 280004 350005 420006 560008 700010 770011 840012 1050015 1400020 1540022 1610023 1680024 2100030 2310033 2800040 3080044 3220046 3850055 4200060 4620066 4830069 6160088 6440092 7700110 8050115 8400120 9240132 9660138 11550165 12880184 15400220 16100230 17710253 18480264 19320276 23100330 24150345 30800440 32200460 35420506 38640552 46200660 48300690 53130759 64400920 70841012 88551265 92401320 96601380 106261518 141682024 177102530 193202760 212523036 265653795 354205060 425046072 531307590 708410120 1062615180 2125230360