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2216153296 = 247312512543
BaseRepresentation
bin1000010000010111…
…1101000011010000
312201110002020210201
42010011331003100
514014313401141
61003523504544
7105626664220
oct20405750320
95643066721
102216153296
11a37a62855
1251a228154
13294198c16
14170484080
15ce85d031
hex8417d0d0

2216153296 has 80 divisors (see below), whose sum is σ = 5087674368. Its totient is φ = 915120000.

The previous prime is 2216153281. The next prime is 2216153299. The reversal of 2216153296 is 6923516122.

It is a super-2 number, since 2×22161532962 = 9822670862743327232, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2216153299) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 870201 + ... + 872743.

Almost surely, 22216153296 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 2216153296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2543837184).

2216153296 is an abundant number, since it is smaller than the sum of its proper divisors (2871521072).

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

2216153296 is a wasteful number, since it uses less digits than its factorization.

2216153296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2840 (or 2834 counting only the distinct ones).

The product of its digits is 38880, while the sum is 37.

The square root of 2216153296 is about 47076.0373863391. The cubic root of 2216153296 is about 1303.7668451625.

It can be divided in two parts, 22161 and 53296, that added together give a palindrome (75457).

The spelling of 2216153296 in words is "two billion, two hundred sixteen million, one hundred fifty-three thousand, two hundred ninety-six".

Divisors: 1 2 4 7 8 14 16 28 31 56 62 112 124 217 248 251 434 496 502 868 1004 1736 1757 2008 2543 3472 3514 4016 5086 7028 7781 10172 14056 15562 17801 20344 28112 31124 35602 40688 54467 62248 71204 78833 108934 124496 142408 157666 217868 284816 315332 435736 551831 630664 638293 871472 1103662 1261328 1276586 2207324 2553172 4414648 4468051 5106344 8829296 8936102 10212688 17872204 19787083 35744408 39574166 71488816 79148332 138509581 158296664 277019162 316593328 554038324 1108076648 2216153296