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2217984048 = 243274434967
BaseRepresentation
bin1000010000110011…
…1100000000110000
312201120112021010100
42010030330000300
514020300442143
61004031032400
7105651360540
oct20414740060
95646467110
102217984048
11a38aa3275
1251a96b700
1329468a2c7
141707dd320
15ceac06d3
hex8433c030

2217984048 has 120 divisors (see below), whose sum is σ = 7111473408. Its totient is φ = 632151936.

The previous prime is 2217984037. The next prime is 2217984079. The reversal of 2217984048 is 8404897122.

It is a junction number, because it is equal to n+sod(n) for n = 2217983994 and 2217984012.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 444061 + ... + 449027.

Almost surely, 22217984048 is an apocalyptic number.

2217984048 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 2217984048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3555736704).

2217984048 is an abundant number, since it is smaller than the sum of its proper divisors (4893489360).

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

2217984048 is a wasteful number, since it uses less digits than its factorization.

2217984048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5431 (or 5422 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The square root of 2217984048 is about 47095.4779994853. The cubic root of 2217984048 is about 1304.1257578792.

The spelling of 2217984048 in words is "two billion, two hundred seventeen million, nine hundred eighty-four thousand, forty-eight".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 28 36 42 48 56 63 72 84 112 126 144 168 252 336 443 504 886 1008 1329 1772 2658 3101 3544 3987 4967 5316 6202 7088 7974 9303 9934 10632 12404 14901 15948 18606 19868 21264 24808 27909 29802 31896 34769 37212 39736 44703 49616 55818 59604 63792 69538 74424 79472 89406 104307 111636 119208 139076 148848 178812 208614 223272 238416 278152 312921 357624 417228 446544 556304 625842 715248 834456 1251684 1668912 2200381 2503368 4400762 5006736 6601143 8801524 13202286 15402667 17603048 19803429 26404572 30805334 35206096 39606858 46208001 52809144 61610668 79213716 92416002 105618288 123221336 138624003 158427432 184832004 246442672 277248006 316854864 369664008 554496012 739328016 1108992024 2217984048