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4414222848 = 2937571719
BaseRepresentation
bin1000001110001101…
…11011001000000000
3102101122010202101010
410013012323020000
533020020112343
62010004040520
7214250163240
oct40706731000
912348122333
104414222848
111965793a62
12a32393140
135546a29a9
142dc37bb20
151ac7e7d33
hex1071bb200

4414222848 has 160 divisors (see below), whose sum is σ = 13481994240. Its totient is φ = 1257246720.

The previous prime is 4414222843. The next prime is 4414222903. The reversal of 4414222848 is 8482224144.

It is a super-2 number, since 2×44142228482 = 38970726703610462208, which contains 22 as substring.

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

It is not an unprimeable number, because it can be changed into a prime (4414222843) 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, 6139033 + ... + 6139751.

It is an arithmetic number, because the mean of its divisors is an integer number (84262464).

Almost surely, 24414222848 is an apocalyptic number.

4414222848 is a gapful number since it is divisible by the number (48) 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 4414222848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6740997120).

4414222848 is an abundant number, since it is smaller than the sum of its proper divisors (9067771392).

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

4414222848 is an equidigital number, since it uses as much as digits as its factorization.

4414222848 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1318 (or 1302 counting only the distinct ones).

The product of its digits is 131072, while the sum is 39.

The square root of 4414222848 is about 66439.6180603110. The cubic root of 4414222848 is about 1640.4062606457.

The spelling of 4414222848 in words is "four billion, four hundred fourteen million, two hundred twenty-two thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 64 84 96 112 128 168 192 224 256 336 384 448 512 571 672 719 768 896 1142 1344 1438 1536 1713 1792 2157 2284 2688 2876 3426 3584 3997 4314 4568 5033 5376 5752 6852 7994 8628 9136 10066 10752 11504 11991 13704 15099 15988 17256 18272 20132 23008 23982 27408 30198 31976 34512 36544 40264 46016 47964 54816 60396 63952 69024 73088 80528 92032 95928 109632 120792 127904 138048 146176 161056 184064 191856 219264 241584 255808 276096 292352 322112 368128 383712 410549 438528 483168 511616 552192 644224 767424 821098 877056 966336 1023232 1104384 1231647 1288448 1534848 1642196 1932672 2046464 2463294 2576896 2873843 3069696 3284392 3865344 4926588 5747686 6139392 6568784 7730688 8621529 9853176 11495372 13137568 17243058 19706352 22990744 26275136 34486116 39412704 45981488 52550272 68972232 78825408 91962976 105100544 137944464 157650816 183925952 210201088 275888928 315301632 367851904 551777856 630603264 735703808 1103555712 1471407616 2207111424 4414222848