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2211490848 = 25372326221
BaseRepresentation
bin1000001111010000…
…1010110000100000
312201010022101010110
42003310022300200
514012120201343
61003235531320
7105542235120
oct20364126040
95633271113
102211490848
11a35368896
12518759b40
13293225988
1416d9ccc80
15ce23b833
hex83d0ac20

2211490848 has 144 divisors (see below), whose sum is σ = 6936584256. Its totient is φ = 604285440.

The previous prime is 2211490847. The next prime is 2211490861. The reversal of 2211490848 is 8480941122.

It is not an unprimeable number, because it can be changed into a prime (2211490847) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 352378 + ... + 358598.

It is an arithmetic number, because the mean of its divisors is an integer number (48170724).

Almost surely, 22211490848 is an apocalyptic number.

2211490848 is a gapful number since it is divisible by the number (28) 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 2211490848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3468292128).

2211490848 is an abundant number, since it is smaller than the sum of its proper divisors (4725093408).

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

2211490848 is a wasteful number, since it uses less digits than its factorization.

2211490848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6287 (or 6256 counting only the distinct ones).

The product of its (nonzero) digits is 36864, while the sum is 39.

The square root of 2211490848 is about 47026.4909173542. The cubic root of 2211490848 is about 1302.8518944629.

The spelling of 2211490848 in words is "two billion, two hundred eleven million, four hundred ninety thousand, eight hundred forty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 32 42 46 48 56 69 84 92 96 112 138 161 168 184 224 276 322 336 368 483 529 552 644 672 736 966 1058 1104 1288 1587 1932 2116 2208 2576 3174 3703 3864 4232 5152 6221 6348 7406 7728 8464 11109 12442 12696 14812 15456 16928 18663 22218 24884 25392 29624 37326 43547 44436 49768 50784 59248 74652 87094 88872 99536 118496 130641 143083 149304 174188 177744 199072 261282 286166 298608 348376 355488 429249 522564 572332 597216 696752 858498 1001581 1045128 1144664 1393504 1716996 2003162 2090256 2289328 3004743 3290909 3433992 4006324 4180512 4578656 6009486 6581818 6867984 8012648 9872727 12018972 13163636 13735968 16025296 19745454 23036363 24037944 26327272 32050592 39490908 46072726 48075888 52654544 69109089 78981816 92145452 96151776 105309088 138218178 157963632 184290904 276436356 315927264 368581808 552872712 737163616 1105745424 2211490848