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8182222848 = 21232221957
BaseRepresentation
bin1111001111011001…
…01101000000000000
3210010020021222122200
413213230231000000
5113224122112343
63431525233200
7406522514052
oct74754550000
923106258580
108182222848
113519719148
121704262800
13a052149a7
1457897d8d2
1532d4e24d3
hex1e7b2d000

8182222848 has 78 divisors (see below), whose sum is σ = 23634753714. Its totient is φ = 2727395328.

The previous prime is 8182222817. The next prime is 8182222849. The reversal of 8182222848 is 8482222818.

It can be written as a sum of positive squares in only one way, i.e., 6076514304 + 2105708544 = 77952^2 + 45888^2 .

It is a super-2 number, since 2×81822228482 (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8182222849) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 74115 + ... + 147842.

It is an arithmetic number, because the mean of its divisors is an integer number (303009663).

Almost surely, 28182222848 is an apocalyptic number.

It is an amenable number.

8182222848 is an abundant number, since it is smaller than the sum of its proper divisors (15452530866).

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

8182222848 is a wasteful number, since it uses less digits than its factorization.

8182222848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 221987 (or 221962 counting only the distinct ones).

The product of its digits is 262144, while the sum is 45.

The square root of 8182222848 is about 90455.6402221553. The cubic root of 8182222848 is about 2015.0713788194.

The spelling of 8182222848 in words is "eight billion, one hundred eighty-two million, two hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 512 576 768 1024 1152 1536 2048 2304 3072 4096 4608 6144 9216 12288 18432 36864 221957 443914 665871 887828 1331742 1775656 1997613 2663484 3551312 3995226 5326968 7102624 7990452 10653936 14205248 15980904 21307872 28410496 31961808 42615744 56820992 63923616 85231488 113641984 127847232 170462976 227283968 255694464 340925952 454567936 511388928 681851904 909135872 1022777856 1363703808 2045555712 2727407616 4091111424 8182222848