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2216024832 = 28373113297
BaseRepresentation
bin1000010000010101…
…1101101100000000
312201102211201120210
42010011131230000
514014300243312
61003521034120
7105625620540
oct20405355400
95642751523
102216024832
11a3798528a
1251a185940
132941525c8
1417044d320
15ce834e3c
hex8415db00

2216024832 has 144 divisors (see below), whose sum is σ = 6958364672. Its totient is φ = 612679680.

The previous prime is 2216024791. The next prime is 2216024843. The reversal of 2216024832 is 2384206122.

It is a self number, because there is not a number n which added to its sum of digits gives 2216024832.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 160008 + ... + 173304.

Almost surely, 22216024832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2216024832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3479182336).

2216024832 is an abundant number, since it is smaller than the sum of its proper divisors (4742339840).

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

2216024832 is a wasteful number, since it uses less digits than its factorization.

2216024832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13354 (or 13340 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The square root of 2216024832 is about 47074.6729356668. The cubic root of 2216024832 is about 1303.7416528108.

The spelling of 2216024832 in words is "two billion, two hundred sixteen million, twenty-four thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 31 32 42 48 56 62 64 84 93 96 112 124 128 168 186 192 217 224 248 256 336 372 384 434 448 496 651 672 744 768 868 896 992 1302 1344 1488 1736 1792 1984 2604 2688 2976 3472 3968 5208 5376 5952 6944 7936 10416 11904 13297 13888 20832 23808 26594 27776 39891 41664 53188 55552 79782 83328 93079 106376 159564 166656 186158 212752 279237 319128 372316 412207 425504 558474 638256 744632 824414 851008 1116948 1236621 1276512 1489264 1648828 1702016 2233896 2473242 2553024 2885449 2978528 3297656 3404032 4467792 4946484 5106048 5770898 5957056 6595312 8656347 8935584 9892968 10212096 11541796 11914112 13190624 17312694 17871168 19785936 23083592 23828224 26381248 34625388 35742336 39571872 46167184 52762496 69250776 71484672 79143744 92334368 105524992 138501552 158287488 184668736 277003104 316574976 369337472 554006208 738674944 1108012416 2216024832