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2216055816 = 2332133476823
BaseRepresentation
bin1000010000010110…
…0101010000001000
312201102220022002100
42010011211100020
514014302241231
61003521433400
7105626110062
oct20405452010
95642808070
102216055816
11a379a6597
1251a19b860
13294163740
1417045a732
15ce83e1e6
hex84165408

2216055816 has 96 divisors (see below), whose sum is σ = 6483072960. Its totient is φ = 679798656.

The previous prime is 2216055811. The next prime is 2216055833. The reversal of 2216055816 is 6185506122.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (2216055811) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321381 + ... + 328203.

It is an arithmetic number, because the mean of its divisors is an integer number (67532010).

Almost surely, 22216055816 is an apocalyptic number.

2216055816 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 2216055816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3241536480).

2216055816 is an abundant number, since it is smaller than the sum of its proper divisors (4267017144).

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

2216055816 is a wasteful number, since it uses less digits than its factorization.

2216055816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7195 (or 7188 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 2216055816 is about 47075.0020286776. The cubic root of 2216055816 is about 1303.7477289976.

The spelling of 2216055816 in words is "two billion, two hundred sixteen million, fifty-five thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 347 468 694 936 1041 1388 2082 2776 3123 4164 4511 6246 6823 8328 9022 12492 13533 13646 18044 20469 24984 27066 27292 36088 40599 40938 54132 54584 61407 81198 81876 88699 108264 122814 162396 163752 177398 245628 266097 324792 354796 491256 532194 709592 798291 1064388 1596582 2128776 2367581 3193164 4735162 6386328 7102743 9470324 14205486 18940648 21308229 28410972 30778553 42616458 56821944 61557106 85232916 92335659 123114212 170465832 184671318 246228424 277006977 369342636 554013954 738685272 1108027908 2216055816