Search a number
-
+
216338832 = 24323148463
BaseRepresentation
bin11001110010100…
…01000110010000
3120002002011002100
430321101012100
5420340320312
633244520400
75234564313
oct1471210620
9502064070
10216338832
11101132626
1260550100
1335a88158
1420a3697a
1513ed55dc
hexce51190

216338832 has 60 divisors (see below), whose sum is σ = 624991744. Its totient is φ = 69785280.

The previous prime is 216338827. The next prime is 216338861. The reversal of 216338832 is 238833612.

It is a super-2 number, since 2×2163388322 = 93604980462248448, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

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 11 ways as a sum of consecutive naturals, for example, 19768 + ... + 28695.

Almost surely, 2216338832 is an apocalyptic number.

It is an amenable number.

216338832 is an abundant number, since it is smaller than the sum of its proper divisors (408652912).

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

216338832 is a wasteful number, since it uses less digits than its factorization.

216338832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 48508 (or 48499 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 216338832 is about 14708.4612383485. The cubic root of 216338832 is about 600.3135694285.

The spelling of 216338832 in words is "two hundred sixteen million, three hundred thirty-eight thousand, eight hundred thirty-two".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 31 36 48 62 72 93 124 144 186 248 279 372 496 558 744 1116 1488 2232 4464 48463 96926 145389 193852 290778 387704 436167 581556 775408 872334 1163112 1502353 1744668 2326224 3004706 3489336 4507059 6009412 6978672 9014118 12018824 13521177 18028236 24037648 27042354 36056472 54084708 72112944 108169416 216338832