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2225200512 = 27327121383
BaseRepresentation
bin1000010010100001…
…1101110110000000
312202002002220020210
42010220131312000
514024122404022
61004445434120
7106066615023
oct20450356600
95662086223
102225200512
11a42082097
1252126b940
13296015bc2
1417175b1ba
15d0548a0c
hex84a1dd80

2225200512 has 64 divisors (see below), whose sum is σ = 5932776960. Its totient is φ = 738961920.

The previous prime is 2225200511. The next prime is 2225200519. The reversal of 2225200512 is 2150025222.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2225200511) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93373 + ... + 114755.

It is an arithmetic number, because the mean of its divisors is an integer number (92699640).

Almost surely, 22225200512 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 2225200512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2966388480).

2225200512 is an abundant number, since it is smaller than the sum of its proper divisors (3707576448).

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

2225200512 is a wasteful number, since it uses less digits than its factorization.

2225200512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21671 (or 21659 counting only the distinct ones).

The product of its (nonzero) digits is 800, while the sum is 21.

The square root of 2225200512 is about 47172.0310353497. The cubic root of 2225200512 is about 1305.5386006545.

Adding to 2225200512 its reverse (2150025222), we get a palindrome (4375225734).

The spelling of 2225200512 in words is "two billion, two hundred twenty-five million, two hundred thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 128 192 271 384 542 813 1084 1626 2168 3252 4336 6504 8672 13008 17344 21383 26016 34688 42766 52032 64149 85532 104064 128298 171064 256596 342128 513192 684256 1026384 1368512 2052768 2737024 4105536 5794793 8211072 11589586 17384379 23179172 34768758 46358344 69537516 92716688 139075032 185433376 278150064 370866752 556300128 741733504 1112600256 2225200512