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212439816 = 233213921227
BaseRepresentation
bin11001010100110…
…01001100001000
3112210202001122100
430222121030020
5413341033231
633025153400
75156465031
oct1452311410
9483661570
10212439816
11a9a0a1a6
125b18b860
1335021544
14202dda88
15139b51e6
hexca99308

212439816 has 48 divisors (see below), whose sum is σ = 579524400. Its totient is φ = 70300512.

The previous prime is 212439811. The next prime is 212439827. The reversal of 212439816 is 618934212.

212439816 is a `hidden beast` number, since 212 + 439 + 8 + 1 + 6 = 666.

212439816 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×2124398162 = 90261350844227712, 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 not an unprimeable number, because it can be changed into a prime (212439811) 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 11 ways as a sum of consecutive naturals, for example, 606 + ... + 20621.

It is an arithmetic number, because the mean of its divisors is an integer number (12073425).

Almost surely, 2212439816 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212439816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289762200).

212439816 is an abundant number, since it is smaller than the sum of its proper divisors (367084584).

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

212439816 is a wasteful number, since it uses less digits than its factorization.

212439816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21378 (or 21371 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

The square root of 212439816 is about 14575.3152967612. The cubic root of 212439816 is about 596.6852544934.

The spelling of 212439816 in words is "two hundred twelve million, four hundred thirty-nine thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 72 139 278 417 556 834 1112 1251 1668 2502 3336 5004 10008 21227 42454 63681 84908 127362 169816 191043 254724 382086 509448 764172 1528344 2950553 5901106 8851659 11802212 17703318 23604424 26554977 35406636 53109954 70813272 106219908 212439816