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215302320 = 24335263379
BaseRepresentation
bin11001101010101…
…00000010110000
3120000010111021000
430311110002300
5420104133240
633210402000
75223016362
oct1465240260
9500114230
10215302320
11100594902
1260130300
13357b442c
1420846d32
1513d7d430
hexcd540b0

215302320 has 160 divisors (see below), whose sum is σ = 746380800. Its totient is φ = 57044736.

The previous prime is 215302277. The next prime is 215302343. The reversal of 215302320 is 23203512.

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

It is a junction number, because it is equal to n+sod(n) for n = 215302293 and 215302302.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 567891 + ... + 568269.

It is an arithmetic number, because the mean of its divisors is an integer number (4664880).

Almost surely, 2215302320 is an apocalyptic number.

215302320 is a gapful number since it is divisible by the number (20) 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 215302320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (373190400).

215302320 is an abundant number, since it is smaller than the sum of its proper divisors (531078480).

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

215302320 is a wasteful number, since it uses less digits than its factorization.

215302320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 664 (or 652 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 215302320 is about 14673.1837036139. The cubic root of 215302320 is about 599.3533032226.

Adding to 215302320 its reverse (23203512), we get a palindrome (238505832).

The spelling of 215302320 in words is "two hundred fifteen million, three hundred two thousand, three hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 27 30 36 40 45 48 54 60 72 80 90 108 120 135 144 180 216 240 263 270 360 379 432 526 540 720 758 789 1052 1080 1137 1315 1516 1578 1895 2104 2160 2274 2367 2630 3032 3156 3411 3790 3945 4208 4548 4734 5260 5685 6064 6312 6822 7101 7580 7890 9096 9468 10233 10520 11370 11835 12624 13644 14202 15160 15780 17055 18192 18936 20466 21040 22740 23670 27288 28404 30320 31560 34110 35505 37872 40932 45480 47340 51165 54576 56808 63120 68220 71010 81864 90960 94680 99677 102330 113616 136440 142020 163728 189360 199354 204660 272880 284040 299031 398708 409320 498385 568080 598062 797416 818640 897093 996770 1196124 1495155 1594832 1794186 1993540 2392248 2691279 2990310 3588372 3987080 4485465 4784496 5382558 5980620 7176744 7974160 8970930 10765116 11961240 13456395 14353488 17941860 21530232 23922480 26912790 35883720 43060464 53825580 71767440 107651160 215302320