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211063216 = 24713144961
BaseRepresentation
bin11001001010010…
…01000110110000
3112201011010022011
430211021012300
5413013010331
632535452304
75142002440
oct1445110660
9481133264
10211063216
11a9159a11
125a827094
133495baa0
1420062120
15137e23b1
hexc9491b0

211063216 has 40 divisors (see below), whose sum is σ = 503308064. Its totient is φ = 83496960.

The previous prime is 211063183. The next prime is 211063217. The reversal of 211063216 is 612360112.

It is a super-2 number, since 2×2110632162 = 89095362296525312, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (211063217) 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 7 ways as a sum of consecutive naturals, for example, 71025 + ... + 73936.

Almost surely, 2211063216 is an apocalyptic number.

211063216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

211063216 is an abundant number, since it is smaller than the sum of its proper divisors (292244848).

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

211063216 is a wasteful number, since it uses less digits than its factorization.

211063216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144989 (or 144983 counting only the distinct ones).

The product of its (nonzero) digits is 432, while the sum is 22.

The square root of 211063216 is about 14528.0148678338. The cubic root of 211063216 is about 595.3936297938.

Subtracting from 211063216 its product of nonzero digits (432), we obtain a square (211062784 = 145282).

The spelling of 211063216 in words is "two hundred eleven million, sixty-three thousand, two hundred sixteen".

Divisors: 1 2 4 7 8 13 14 16 26 28 52 56 91 104 112 182 208 364 728 1456 144961 289922 579844 1014727 1159688 1884493 2029454 2319376 3768986 4058908 7537972 8117816 13191451 15075944 16235632 26382902 30151888 52765804 105531608 211063216