Search a number
-
+
2149666560 = 2833562201
BaseRepresentation
bin1000000000100001…
…0100111100000000
312112210222101011000
42000020110330000
513400303312220
6553150452000
7104161602306
oct20010247400
95483871130
102149666560
11a03481338
124bbb04000
1328348a562
141656d8276
15c8ac8390
hex80214f00

2149666560 has 144 divisors (see below), whose sum is σ = 7628453280. Its totient is φ = 573235200.

The previous prime is 2149666559. The next prime is 2149666577. The reversal of 2149666560 is 656669412.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3460 + ... + 65660.

It is an arithmetic number, because the mean of its divisors is an integer number (52975370).

Almost surely, 22149666560 is an apocalyptic number.

2149666560 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 2149666560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3814226640).

2149666560 is an abundant number, since it is smaller than the sum of its proper divisors (5478786720).

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

2149666560 is an equidigital number, since it uses as much as digits as its factorization.

2149666560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62231 (or 62211 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The square root of 2149666560 is about 46364.4967620700. The cubic root of 2149666560 is about 1290.5961549561.

The spelling of 2149666560 in words is "two billion, one hundred forty-nine million, six hundred sixty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 32 36 40 45 48 54 60 64 72 80 90 96 108 120 128 135 144 160 180 192 216 240 256 270 288 320 360 384 432 480 540 576 640 720 768 864 960 1080 1152 1280 1440 1728 1920 2160 2304 2880 3456 3840 4320 5760 6912 8640 11520 17280 34560 62201 124402 186603 248804 311005 373206 497608 559809 622010 746412 933015 995216 1119618 1244020 1492824 1679427 1866030 1990432 2239236 2488040 2799045 2985648 3358854 3732060 3980864 4478472 4976080 5598090 5971296 6717708 7464120 7961728 8397135 8956944 9952160 11196180 11942592 13435416 14928240 15923456 16794270 17913888 19904320 22392360 23885184 26870832 29856480 33588540 35827776 39808640 44784720 47770368 53741664 59712960 67177080 71655552 79617280 89569440 107483328 119425920 134354160 143311104 179138880 214966656 238851840 268708320 358277760 429933312 537416640 716555520 1074833280 2149666560