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2868226560 = 29325124489
BaseRepresentation
bin1010101011110101…
…1010101000000000
321101220002000011100
42222331122220000
521333231222220
61152340014400
7131035344363
oct25275325000
97356060140
102868226560
111242048081
12680691400
133692c77a4
141d2d040da
1511bc14d90
hexaaf5aa00

2868226560 has 120 divisors (see below), whose sum is σ = 9933555060. Its totient is φ = 764854272.

The previous prime is 2868226541. The next prime is 2868226573. The reversal of 2868226560 is 656228682.

2868226560 is a `hidden beast` number, since 2 + 8 + 6 + 82 + 2 + 6 + 560 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2603448576 + 264777984 = 51024^2 + 16272^2 .

It is a tau number, because it is divible by the number of its divisors (120).

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

It is a zygodrome in base 4.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 39205 + ... + 85284.

Almost surely, 22868226560 is an apocalyptic number.

2868226560 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2868226560 is an abundant number, since it is smaller than the sum of its proper divisors (7065328500).

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

2868226560 is a wasteful number, since it uses less digits than its factorization.

2868226560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 124518 (or 124499 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The square root of 2868226560 is about 53555.8265737725. The cubic root of 2868226560 is about 1420.8159299407.

The spelling of 2868226560 in words is "two billion, eight hundred sixty-eight million, two hundred twenty-six thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 30 32 36 40 45 48 60 64 72 80 90 96 120 128 144 160 180 192 240 256 288 320 360 384 480 512 576 640 720 768 960 1152 1280 1440 1536 1920 2304 2560 2880 3840 4608 5760 7680 11520 23040 124489 248978 373467 497956 622445 746934 995912 1120401 1244890 1493868 1867335 1991824 2240802 2489780 2987736 3734670 3983648 4481604 4979560 5602005 5975472 7469340 7967296 8963208 9959120 11204010 11950944 14938680 15934592 17926416 19918240 22408020 23901888 29877360 31869184 35852832 39836480 44816040 47803776 59754720 63738368 71705664 79672960 89632080 95607552 119509440 143411328 159345920 179264160 191215104 239018880 286822656 318691840 358528320 478037760 573645312 717056640 956075520 1434113280 2868226560