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2295723040 = 255132591439
BaseRepresentation
bin1000100011010101…
…1111010000100000
312220222210210222021
42020311133100200
514200201114130
61015445151224
7110614216042
oct21065372040
95828723867
102295723040
11a7896a776
125409bb514
132a7808500
1417ac77a92
15d682937a
hex88d5f420

2295723040 has 144 divisors (see below), whose sum is σ = 5976633600. Its totient is φ = 832705536.

The previous prime is 2295722971. The next prime is 2295723077. The reversal of 2295723040 is 403275922.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 2295722987 and 2295723005.

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, 1594641 + ... + 1596079.

It is an arithmetic number, because the mean of its divisors is an integer number (41504400).

Almost surely, 22295723040 is an apocalyptic number.

2295723040 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 2295723040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2988316800).

2295723040 is an abundant number, since it is smaller than the sum of its proper divisors (3680910560).

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

2295723040 is a wasteful number, since it uses less digits than its factorization.

2295723040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1539 (or 1518 counting only the distinct ones).

The product of its (nonzero) digits is 30240, while the sum is 34.

The square root of 2295723040 is about 47913.7040939229. The cubic root of 2295723040 is about 1319.1874092696.

Adding to 2295723040 its reverse (403275922), we get a palindrome (2698998962).

The spelling of 2295723040 in words is "two billion, two hundred ninety-five million, seven hundred twenty-three thousand, forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 32 40 52 59 65 80 104 118 130 160 169 208 236 260 295 338 416 472 520 590 676 767 845 944 1040 1180 1352 1439 1534 1690 1888 2080 2360 2704 2878 3068 3380 3835 4720 5408 5756 6136 6760 7195 7670 9440 9971 11512 12272 13520 14390 15340 18707 19942 23024 24544 27040 28780 30680 37414 39884 46048 49855 57560 61360 74828 79768 84901 93535 99710 115120 122720 149656 159536 169802 187070 199420 230240 243191 299312 319072 339604 374140 398840 424505 486382 598624 679208 748280 797680 849010 972764 1103713 1215955 1358416 1496560 1595360 1698020 1945528 2207426 2431910 2716832 2993120 3396040 3891056 4414852 4863820 5518565 6792080 7782112 8829704 9727640 11037130 13584160 14348269 17659408 19455280 22074260 28696538 35318816 38910560 44148520 57393076 71741345 88297040 114786152 143482690 176594080 229572304 286965380 459144608 573930760 1147861520 2295723040