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215310312 = 2334726781
BaseRepresentation
bin11001101010101…
…01111111101000
3120000010220020000
430311111333220
5420104412222
633210503000
75223051600
oct1465257750
9500126200
10215310312
1110059a908
1260134a60
13357b7c69
1420849c00
1513d809ac
hexcd55fe8

215310312 has 120 divisors (see below), whose sum is σ = 701631810. Its totient is φ = 61508160.

The previous prime is 215310307. The next prime is 215310323. The reversal of 215310312 is 213013512.

It can be written as a sum of positive squares in only one way, i.e., 188622756 + 26687556 = 13734^2 + 5166^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 28362 + ... + 35142.

Almost surely, 2215310312 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 215310312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350815905).

215310312 is an abundant number, since it is smaller than the sum of its proper divisors (486321498).

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

215310312 is a wasteful number, since it uses less digits than its factorization.

215310312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6813 (or 6793 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 215310312 is about 14673.4560346225. The cubic root of 215310312 is about 599.3607191085.

Adding to 215310312 its reverse (213013512), we get a palindrome (428323824).

The spelling of 215310312 in words is "two hundred fifteen million, three hundred ten thousand, three hundred twelve".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 49 54 56 63 72 81 84 98 108 126 147 162 168 189 196 216 252 294 324 378 392 441 504 567 588 648 756 882 1134 1176 1323 1512 1764 2268 2646 3528 3969 4536 5292 6781 7938 10584 13562 15876 20343 27124 31752 40686 47467 54248 61029 81372 94934 122058 142401 162744 183087 189868 244116 284802 332269 366174 379736 427203 488232 549261 569604 664538 732348 854406 996807 1098522 1139208 1281609 1329076 1464696 1708812 1993614 2197044 2563218 2658152 2990421 3417624 3844827 3987228 4394088 5126436 5980842 7689654 7974456 8971263 10252872 11961684 15379308 17942526 23923368 26913789 30758616 35885052 53827578 71770104 107655156 215310312