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2153184352 = 251123591549
BaseRepresentation
bin1000000001010110…
…1111110001100000
312120001121002122121
42000111233301200
513402203344402
6553354114024
7104233523254
oct20025576140
95501532577
102153184352
11a05464300
1250111b914
1328411c7a7
14165d72264
15c9070837
hex8056fc60

2153184352 has 72 divisors (see below), whose sum is σ = 4675482000. Its totient is φ = 975363840.

The previous prime is 2153184343. The next prime is 2153184359. The reversal of 2153184352 is 2534813512.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2153184359) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1389274 + ... + 1390822.

It is an arithmetic number, because the mean of its divisors is an integer number (64937250).

Almost surely, 22153184352 is an apocalyptic number.

2153184352 is a gapful number since it is divisible by the number (22) 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 2153184352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337741000).

2153184352 is an abundant number, since it is smaller than the sum of its proper divisors (2522297648).

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

2153184352 is a wasteful number, since it uses less digits than its factorization.

2153184352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1940 (or 1921 counting only the distinct ones).

The product of its digits is 28800, while the sum is 34.

The square root of 2153184352 is about 46402.4175232282. The cubic root of 2153184352 is about 1291.2997640123.

Adding to 2153184352 its reverse (2534813512), we get a palindrome (4687997864).

The spelling of 2153184352 in words is "two billion, one hundred fifty-three million, one hundred eighty-four thousand, three hundred fifty-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 359 484 718 968 1436 1549 1936 2872 3098 3872 3949 5744 6196 7898 11488 12392 15796 17039 24784 31592 34078 43439 49568 63184 68156 86878 126368 136312 173756 187429 272624 347512 374858 545248 556091 695024 749716 1112182 1390048 1499432 2224364 2998864 4448728 5997728 6117001 8897456 12234002 17794912 24468004 48936008 67287011 97872016 134574022 195744032 269148044 538296088 1076592176 2153184352