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2260310160 = 2435157223269
BaseRepresentation
bin1000011010111001…
…1001100010010000
312211112011122122010
42012232121202100
514112114411120
61012142142520
7110004214353
oct20656314220
95745148563
102260310160
11a5a982529
12530b81a40
132a0389844
1417629a29a
15d36817e0
hex86b99890

2260310160 has 160 divisors (see below), whose sum is σ = 7109544960. Its totient is φ = 594008064.

The previous prime is 2260310137. The next prime is 2260310201. The reversal of 2260310160 is 610130622.

It is a happy number.

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, 8402506 + ... + 8402774.

It is an arithmetic number, because the mean of its divisors is an integer number (44434656).

Almost surely, 22260310160 is an apocalyptic number.

2260310160 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 2260310160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3554772480).

2260310160 is an abundant number, since it is smaller than the sum of its proper divisors (4849234800).

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

2260310160 is a wasteful number, since it uses less digits than its factorization.

2260310160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 665 (or 659 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 21.

The square root of 2260310160 is about 47542.7193164211. The cubic root of 2260310160 is about 1312.3691486784.

Adding to 2260310160 its reverse (610130622), we get a palindrome (2870440782).

The spelling of 2260310160 in words is "two billion, two hundred sixty million, three hundred ten thousand, one hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 157 223 240 269 314 446 471 538 628 669 785 807 892 942 1076 1115 1256 1338 1345 1570 1614 1784 1884 2152 2230 2355 2512 2676 2690 3140 3228 3345 3568 3768 4035 4304 4460 4710 5352 5380 6280 6456 6690 7536 8070 8920 9420 10704 10760 12560 12912 13380 16140 17840 18840 21520 26760 32280 35011 37680 42233 53520 59987 64560 70022 84466 105033 119974 126699 140044 168932 175055 179961 210066 211165 239948 253398 280088 299935 337864 350110 359922 420132 422330 479896 506796 525165 560176 599870 633495 675728 700220 719844 840264 844660 899805 959792 1013592 1050330 1199740 1266990 1400440 1439688 1680528 1689320 1799610 2027184 2100660 2399480 2533980 2800880 2879376 3378640 3599220 4201320 4798960 5067960 7198440 8402640 9417959 10135920 14396880 18835918 28253877 37671836 47089795 56507754 75343672 94179590 113015508 141269385 150687344 188359180 226031016 282538770 376718360 452062032 565077540 753436720 1130155080 2260310160