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215303328 = 2532839007
BaseRepresentation
bin11001101010101…
…00010010100000
3120000010112122100
430311110102200
5420104201303
633210410400
75223022332
oct1465242240
9500115570
10215303328
11100595639
1260130a00
13357b4a26
1420847452
1513d7d8a3
hexcd544a0

215303328 has 72 divisors (see below), whose sum is σ = 619714368. Its totient is φ = 70895232.

The previous prime is 215303323. The next prime is 215303329. The reversal of 215303328 is 823303512.

It is a tau number, because it is divible by the number of its divisors (72).

It is not an unprimeable number, because it can be changed into a prime (215303321) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19401 + ... + 28407.

It is an arithmetic number, because the mean of its divisors is an integer number (8607144).

Almost surely, 2215303328 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 215303328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (309857184).

215303328 is an abundant number, since it is smaller than the sum of its proper divisors (404411040).

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

215303328 is a wasteful number, since it uses less digits than its factorization.

215303328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9106 (or 9095 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 215303328 is about 14673.2180519476. The cubic root of 215303328 is about 599.3542385696.

The spelling of 215303328 in words is "two hundred fifteen million, three hundred three thousand, three hundred twenty-eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 83 96 144 166 249 288 332 498 664 747 996 1328 1494 1992 2656 2988 3984 5976 7968 9007 11952 18014 23904 27021 36028 54042 72056 81063 108084 144112 162126 216168 288224 324252 432336 648504 747581 864672 1297008 1495162 2242743 2594016 2990324 4485486 5980648 6728229 8970972 11961296 13456458 17941944 23922592 26912916 35883888 53825832 71767776 107651664 215303328