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215978868 = 22327317491
BaseRepresentation
bin11001101111110…
…01001101110100
3120001101212022100
430313321031310
5420242310433
633233102100
75231535000
oct1467711564
9501355270
10215978868
11100a07136
12603b7930
1335990361
1420981700
1513e63b13
hexcdf9374

215978868 has 72 divisors (see below), whose sum is σ = 636708800. Its totient is φ = 61704720.

The previous prime is 215978843. The next prime is 215978899. The reversal of 215978868 is 868879512.

It is a super-2 number, since 2×2159788682 = 93293742845122848, which contains 22 as substring.

It is a congruent number.

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 23 ways as a sum of consecutive naturals, for example, 3603 + ... + 21093.

Almost surely, 2215978868 is an apocalyptic number.

215978868 is a gapful number since it is divisible by the number (28) 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 215978868, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (318354400).

215978868 is an abundant number, since it is smaller than the sum of its proper divisors (420729932).

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

215978868 is a wasteful number, since it uses less digits than its factorization.

215978868 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17522 (or 17503 counting only the distinct ones).

The product of its digits is 1935360, while the sum is 54.

The square root of 215978868 is about 14696.2195138750. The cubic root of 215978868 is about 599.9804326952.

The spelling of 215978868 in words is "two hundred fifteen million, nine hundred seventy-eight thousand, eight hundred sixty-eight".

Divisors: 1 2 3 4 6 7 9 12 14 18 21 28 36 42 49 63 84 98 126 147 196 252 294 343 441 588 686 882 1029 1372 1764 2058 3087 4116 6174 12348 17491 34982 52473 69964 104946 122437 157419 209892 244874 314838 367311 489748 629676 734622 857059 1101933 1469244 1714118 2203866 2571177 3428236 4407732 5142354 5999413 7713531 10284708 11998826 15427062 17998239 23997652 30854124 35996478 53994717 71992956 107989434 215978868