Search a number
-
+
2206270248 = 2337133132587
BaseRepresentation
bin1000001110000001…
…0000001100101000
312200202111010210220
42003200100030220
514004301121443
61002532010040
7105446662530
oct20340201450
95622433726
102206270248
11a32422546
12516a60920
13292118670
1416d0304c0
15cda59a83
hex83810328

2206270248 has 128 divisors (see below), whose sum is σ = 7007723520. Its totient is φ = 563086080.

The previous prime is 2206270247. The next prime is 2206270271. The reversal of 2206270248 is 8420726022.

It is not an unprimeable number, because it can be changed into a prime (2206270247) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 51411 + ... + 83997.

It is an arithmetic number, because the mean of its divisors is an integer number (54747840).

Almost surely, 22206270248 is an apocalyptic number.

2206270248 is a gapful number since it is divisible by the number (28) 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 2206270248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3503861760).

2206270248 is an abundant number, since it is smaller than the sum of its proper divisors (4801453272).

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

2206270248 is a wasteful number, since it uses less digits than its factorization.

2206270248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32647 (or 32643 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 33.

The square root of 2206270248 is about 46970.9511081051. The cubic root of 2206270248 is about 1301.8258855752.

The spelling of 2206270248 in words is "two billion, two hundred six million, two hundred seventy thousand, two hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 13 14 21 24 26 28 31 39 42 52 56 62 78 84 91 93 104 124 156 168 182 186 217 248 273 312 364 372 403 434 546 651 728 744 806 868 1092 1209 1302 1612 1736 2184 2418 2604 2821 3224 4836 5208 5642 8463 9672 11284 16926 22568 32587 33852 65174 67704 97761 130348 195522 228109 260696 391044 423631 456218 684327 782088 847262 912436 1010197 1270893 1368654 1694524 1824872 2020394 2541786 2737308 2965417 3030591 3389048 4040788 5083572 5474616 5930834 6061182 7071379 8081576 8896251 10167144 11861668 12122364 13132561 14142758 17792502 21214137 23723336 24244728 26265122 28285516 35585004 39397683 42428274 52530244 56571032 71170008 78795366 84856548 91927927 105060488 157590732 169713096 183855854 275783781 315181464 367711708 551567562 735423416 1103135124 2206270248