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2270318700 = 2235213757769
BaseRepresentation
bin1000011101010010…
…0101000001101100
312212020000010202210
42013110211001230
514122200144300
61013140450420
7110155250646
oct20724450154
95766003683
102270318700
11a65599051
125343a9a10
132a2482260
14177743896
15d44ac050
hex8752506c

2270318700 has 144 divisors (see below), whose sum is σ = 7092636320. Its totient is φ = 557383680.

The previous prime is 2270318693. The next prime is 2270318723. The reversal of 2270318700 is 78130722.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 2951916 + ... + 2952684.

Almost surely, 22270318700 is an apocalyptic number.

2270318700 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 2270318700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3546318160).

2270318700 is an abundant number, since it is smaller than the sum of its proper divisors (4822317620).

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

2270318700 is a wasteful number, since it uses less digits than its factorization.

2270318700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1549 counting only the distinct ones).

The product of its (nonzero) digits is 4704, while the sum is 30.

The square root of 2270318700 is about 47647.8614420417. The cubic root of 2270318700 is about 1314.3033315781.

The spelling of 2270318700 in words is "two billion, two hundred seventy million, three hundred eighteen thousand, seven hundred".

Divisors: 1 2 3 4 5 6 10 12 13 15 20 25 26 30 39 50 52 60 65 75 78 100 130 150 156 195 260 300 325 390 650 757 769 780 975 1300 1514 1538 1950 2271 2307 3028 3076 3785 3845 3900 4542 4614 7570 7690 9084 9228 9841 9997 11355 11535 15140 15380 18925 19225 19682 19994 22710 23070 29523 29991 37850 38450 39364 39988 45420 46140 49205 49985 56775 57675 59046 59982 75700 76900 98410 99970 113550 115350 118092 119964 147615 149955 196820 199940 227100 230700 246025 249925 295230 299910 492050 499850 582133 590460 599820 738075 749775 984100 999700 1164266 1476150 1499550 1746399 2328532 2910665 2952300 2999100 3492798 5821330 6985596 7567729 8731995 11642660 14553325 15135458 17463990 22703187 29106650 30270916 34927980 37838645 43659975 45406374 58213300 75677290 87319950 90812748 113515935 151354580 174639900 189193225 227031870 378386450 454063740 567579675 756772900 1135159350 2270318700