Search a number
-
+
2266650560 = 26531415573
BaseRepresentation
bin1000011100011010…
…0101011111000000
312211222002210000202
42013012211133000
514120230304220
61012530104332
7110112132446
oct20706453700
95758083022
102266650560
11a63513129
1253311b0a8
132a1799765
1417706ab96
15d3ed5275
hex871a57c0

2266650560 has 112 divisors (see below), whose sum is σ = 5708489472. Its totient is φ = 855859200.

The previous prime is 2266650539. The next prime is 2266650563. The reversal of 2266650560 is 650566622.

It is a super-2 number, since 2×22666505602 = 10275409522296627200, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2266650563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 403934 + ... + 409506.

It is an arithmetic number, because the mean of its divisors is an integer number (50968656).

Almost surely, 22266650560 is an apocalyptic number.

2266650560 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 2266650560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2854244736).

2266650560 is an abundant number, since it is smaller than the sum of its proper divisors (3441838912).

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

2266650560 is a wasteful number, since it uses less digits than its factorization.

2266650560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5662 (or 5652 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 38.

The square root of 2266650560 is about 47609.3537028177. The cubic root of 2266650560 is about 1313.5951127420.

The spelling of 2266650560 in words is "two billion, two hundred sixty-six million, six hundred fifty thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 31 32 40 41 62 64 80 82 124 155 160 164 205 248 310 320 328 410 496 620 656 820 992 1240 1271 1312 1640 1984 2480 2542 2624 3280 4960 5084 5573 6355 6560 9920 10168 11146 12710 13120 20336 22292 25420 27865 40672 44584 50840 55730 81344 89168 101680 111460 172763 178336 203360 222920 228493 345526 356672 406720 445840 456986 691052 863815 891680 913972 1142465 1382104 1727630 1783360 1827944 2284930 2764208 3455260 3655888 4569860 5528416 6910520 7083283 7311776 9139720 11056832 13821040 14166566 14623552 18279440 27642080 28333132 35416415 36558880 55284160 56666264 70832830 73117760 113332528 141665660 226665056 283331320 453330112 566662640 1133325280 2266650560