Search a number
-
+
212067984 = 2434418083
BaseRepresentation
bin11001010001111…
…10011010010000
3112210001011120210
430220332122100
5413242133414
633013204120
75153356002
oct1450763220
9483034523
10212067984
11a97858a7
125b030640
1334c2121b
1420244372
151393ee59
hexca3e690

212067984 has 20 divisors (see below), whose sum is σ = 547842416. Its totient is φ = 70689312.

The previous prime is 212067971. The next prime is 212068019. The reversal of 212067984 is 489760212.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2208994 + ... + 2209089.

Almost surely, 2212067984 is an apocalyptic number.

212067984 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212067984 is an abundant number, since it is smaller than the sum of its proper divisors (335774432).

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

212067984 is a wasteful number, since it uses less digits than its factorization.

212067984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4418094 (or 4418088 counting only the distinct ones).

The product of its (nonzero) digits is 48384, while the sum is 39.

The square root of 212067984 is about 14562.5541715731. The cubic root of 212067984 is about 596.3369264420.

The spelling of 212067984 in words is "two hundred twelve million, sixty-seven thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 4418083 8836166 13254249 17672332 26508498 35344664 53016996 70689328 106033992 212067984