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2273112720 = 24345350789
BaseRepresentation
bin1000011101111100…
…1111001010010000
312212102021002110000
42013133033022100
514123404101340
61013320410000
7110221065534
oct20737171220
95772232400
102273112720
11a6712725a
12535316900
132a2c1cc18
14177c6dbc4
15d485ed30
hex877cf290

2273112720 has 100 divisors (see below), whose sum is σ = 7894879740. Its totient is φ = 606161664.

The previous prime is 2273112697. The next prime is 2273112757. The reversal of 2273112720 is 272113722.

2273112720 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 1316818944 + 956293776 = 36288^2 + 30924^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 168915 + ... + 181874.

Almost surely, 22273112720 is an apocalyptic number.

2273112720 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2273112720 is an abundant number, since it is smaller than the sum of its proper divisors (5621767020).

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

2273112720 is a wasteful number, since it uses less digits than its factorization.

2273112720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 350814 (or 350799 counting only the distinct ones).

The product of its (nonzero) digits is 2352, while the sum is 27.

The square root of 2273112720 is about 47677.1718959923. The cubic root of 2273112720 is about 1314.8422697754.

The spelling of 2273112720 in words is "two billion, two hundred seventy-three million, one hundred twelve thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 81 90 108 120 135 144 162 180 216 240 270 324 360 405 432 540 648 720 810 1080 1296 1620 2160 3240 6480 350789 701578 1052367 1403156 1753945 2104734 2806312 3157101 3507890 4209468 5261835 5612624 6314202 7015780 8418936 9471303 10523670 12628404 14031560 15785505 16837872 18942606 21047340 25256808 28063120 28413909 31571010 37885212 42094680 47356515 50513616 56827818 63142020 75770424 84189360 94713030 113655636 126284040 142069545 151540848 189426060 227311272 252568080 284139090 378852120 454622544 568278180 757704240 1136556360 2273112720