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2216928896 = 27713296563
BaseRepresentation
bin1000010000100011…
…1010011010000000
312201111112122201122
42010020322122000
514020013211041
61003552251412
7105636404360
oct20410723200
95644478648
102216928896
11a38442546
1251a540b68
132943aac60
141706069a0
15ce962c4b
hex8423a680

2216928896 has 128 divisors (see below), whose sum is σ = 5624035200. Its totient is φ = 846655488.

The previous prime is 2216928887. The next prime is 2216928913. The reversal of 2216928896 is 6988296122.

It is a tau number, because it is divible by the number of its divisors (128).

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, 334511 + ... + 341073.

It is an arithmetic number, because the mean of its divisors is an integer number (43937775).

Almost surely, 22216928896 is an apocalyptic number.

2216928896 is a gapful number since it is divisible by the number (26) 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 2216928896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2812017600).

2216928896 is an abundant number, since it is smaller than the sum of its proper divisors (3407106304).

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

2216928896 is a wasteful number, since it uses less digits than its factorization.

2216928896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6626 (or 6614 counting only the distinct ones).

The product of its digits is 1492992, while the sum is 53.

The square root of 2216928896 is about 47084.2744023947. The cubic root of 2216928896 is about 1303.9189230332.

The spelling of 2216928896 in words is "two billion, two hundred sixteen million, nine hundred twenty-eight thousand, eight hundred ninety-six".

Divisors: 1 2 4 7 8 13 14 16 26 28 29 32 52 56 58 64 91 104 112 116 128 182 203 208 224 232 364 377 406 416 448 464 728 754 812 832 896 928 1456 1508 1624 1664 1856 2639 2912 3016 3248 3712 5278 5824 6032 6496 6563 10556 11648 12064 12992 13126 21112 24128 25984 26252 42224 45941 48256 52504 84448 85319 91882 105008 168896 170638 183764 190327 210016 337792 341276 367528 380654 420032 597233 682552 735056 761308 840064 1194466 1332289 1365104 1470112 1522616 2388932 2474251 2664578 2730208 2940224 3045232 4777864 4948502 5329156 5460416 5880448 6090464 9555728 9897004 10658312 10920832 12180928 17319757 19111456 19794008 21316624 24361856 34639514 38222912 39588016 42633248 69279028 76445824 79176032 85266496 138558056 158352064 170532992 277116112 316704128 554232224 1108464448 2216928896