Search a number
-
+
2276228760 = 2335137120551
BaseRepresentation
bin1000011110101100…
…0111111010011000
312212122010101211220
42013223013322120
514130203310020
61013511252040
7110256424311
oct20753077230
95778111756
102276228760
11a689653a3
1253637a020
132a3771330
14178441608
15d4c78240
hex87ac7e98

2276228760 has 128 divisors (see below), whose sum is σ = 7457909760. Its totient is φ = 552384000.

The previous prime is 2276228743. The next prime is 2276228771. The reversal of 2276228760 is 678226722.

It is a super-2 number, since 2×22762287602 = 10362434735702275200, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 100485 + ... + 121035.

It is an arithmetic number, because the mean of its divisors is an integer number (58264920).

Almost surely, 22276228760 is an apocalyptic number.

2276228760 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 2276228760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3728954880).

2276228760 is an abundant number, since it is smaller than the sum of its proper divisors (5181681000).

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

2276228760 is a wasteful number, since it uses less digits than its factorization.

2276228760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20649 (or 20645 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 42.

The square root of 2276228760 is about 47709.8392367864. The cubic root of 2276228760 is about 1315.4428017183.

The spelling of 2276228760 in words is "two billion, two hundred seventy-six million, two hundred twenty-eight thousand, seven hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 13 15 20 24 26 30 39 40 52 60 65 71 78 104 120 130 142 156 195 213 260 284 312 355 390 426 520 568 710 780 852 923 1065 1420 1560 1704 1846 2130 2769 2840 3692 4260 4615 5538 7384 8520 9230 11076 13845 18460 20551 22152 27690 36920 41102 55380 61653 82204 102755 110760 123306 164408 205510 246612 267163 308265 411020 493224 534326 616530 801489 822040 1068652 1233060 1335815 1459121 1602978 2137304 2466120 2671630 2918242 3205956 4007445 4377363 5343260 5836484 6411912 7295605 8014890 8754726 10686520 11672968 14591210 16029780 17509452 18968573 21886815 29182420 32059560 35018904 37937146 43773630 56905719 58364840 75874292 87547260 94842865 113811438 151748584 175094520 189685730 227622876 284528595 379371460 455245752 569057190 758742920 1138114380 2276228760