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2216124320 = 255291513163
BaseRepresentation
bin1000010000010111…
…0101111110100000
312201110000210001112
42010011311332200
514014311434240
61003523122452
7105626513564
oct20405657640
95643023045
102216124320
11a37a43003
1251a213428
13294188987
141704776a4
15ce854665
hex84175fa0

2216124320 has 96 divisors (see below), whose sum is σ = 5453723520. Its totient is φ = 849945600.

The previous prime is 2216124283. The next prime is 2216124331. The reversal of 2216124320 is 234216122.

It is a happy number.

It is a super-2 number, since 2×22161243202 = 9822414003390924800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 699059 + ... + 702221.

It is an arithmetic number, because the mean of its divisors is an integer number (56809620).

Almost surely, 22216124320 is an apocalyptic number.

2216124320 is a gapful number since it is divisible by the number (20) 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 2216124320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2726861760).

2216124320 is an abundant number, since it is smaller than the sum of its proper divisors (3237599200).

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

2216124320 is a wasteful number, since it uses less digits than its factorization.

2216124320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3358 (or 3350 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 2216124320 is about 47075.7296279091. The cubic root of 2216124320 is about 1303.7611629274.

The spelling of 2216124320 in words is "two billion, two hundred sixteen million, one hundred twenty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 29 32 40 58 80 116 145 151 160 232 290 302 464 580 604 755 928 1160 1208 1510 2320 2416 3020 3163 4379 4640 4832 6040 6326 8758 12080 12652 15815 17516 21895 24160 25304 31630 35032 43790 50608 63260 70064 87580 91727 101216 126520 140128 175160 183454 253040 350320 366908 458635 477613 506080 700640 733816 917270 955226 1467632 1834540 1910452 2388065 2935264 3669080 3820904 4776130 7338160 7641808 9552260 13850777 14676320 15283616 19104520 27701554 38209040 55403108 69253885 76418080 110806216 138507770 221612432 277015540 443224864 554031080 1108062160 2216124320