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2263245360 = 2435171134909
BaseRepresentation
bin1000011011100110…
…0110001000110000
312211201200202222020
42012321212020300
514113342322420
61012325111440
7110041160655
oct20671461060
95751622866
102263245360
11a615a7812
12531b58580
132a0b7684c
14176821c2c
15d3a61340
hex86e66230

2263245360 has 160 divisors (see below), whose sum is σ = 7496038080. Its totient is φ = 562888704.

The previous prime is 2263245349. The next prime is 2263245403. The reversal of 2263245360 is 635423622.

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 31 ways as a sum of consecutive naturals, for example, 458586 + ... + 463494.

It is an arithmetic number, because the mean of its divisors is an integer number (46850238).

Almost surely, 22263245360 is an apocalyptic number.

2263245360 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 2263245360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3748019040).

2263245360 is an abundant number, since it is smaller than the sum of its proper divisors (5232792720).

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

2263245360 is a wasteful number, since it uses less digits than its factorization.

2263245360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5049 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 33.

The square root of 2263245360 is about 47573.5783812822. The cubic root of 2263245360 is about 1312.9369763135.

Adding to 2263245360 its reverse (635423622), we get a palindrome (2898668982).

The spelling of 2263245360 in words is "two billion, two hundred sixty-three million, two hundred forty-five thousand, three hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 17 20 24 30 34 40 48 51 60 68 80 85 102 113 120 136 170 204 226 240 255 272 339 340 408 452 510 565 678 680 816 904 1020 1130 1356 1360 1695 1808 1921 2040 2260 2712 3390 3842 4080 4520 4909 5424 5763 6780 7684 9040 9605 9818 11526 13560 14727 15368 19210 19636 23052 24545 27120 28815 29454 30736 38420 39272 46104 49090 57630 58908 73635 76840 78544 83453 92208 98180 115260 117816 147270 153680 166906 196360 230520 235632 250359 294540 333812 392720 417265 461040 500718 554717 589080 667624 834530 1001436 1109434 1178160 1251795 1335248 1664151 1669060 2002872 2218868 2503590 2773585 3328302 3338120 4005744 4437736 5007180 5547170 6656604 6676240 8320755 8875472 9430189 10014360 11094340 13313208 16641510 18860378 20028720 22188680 26626416 28290567 33283020 37720756 44377360 47150945 56581134 66566040 75441512 94301890 113162268 133132080 141452835 150883024 188603780 226324536 282905670 377207560 452649072 565811340 754415120 1131622680 2263245360