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212224208 = 2471894859
BaseRepresentation
bin11001010011001…
…00100011010000
3112210100002212212
430221210203100
5413312133313
633020411252
75154606320
oct1451444320
9483302785
10212224208
11a9882209
125b0a6b28
1334c77371
1420285280
15139713a8
hexca648d0

212224208 has 20 divisors (see below), whose sum is σ = 469925280. Its totient is φ = 90953184.

The previous prime is 212224189. The next prime is 212224217. The reversal of 212224208 is 802422212.

It is a super-2 number, since 2×2122242082 = 90078228922454528, 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 (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 947318 + ... + 947541.

It is an arithmetic number, because the mean of its divisors is an integer number (23496264).

Almost surely, 2212224208 is an apocalyptic number.

212224208 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

212224208 is an abundant number, since it is smaller than the sum of its proper divisors (257701072).

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

212224208 is a wasteful number, since it uses less digits than its factorization.

212224208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1894874 (or 1894868 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 23.

The square root of 212224208 is about 14567.9170782923. The cubic root of 212224208 is about 596.4833248925.

The spelling of 212224208 in words is "two hundred twelve million, two hundred twenty-four thousand, two hundred eight".

Divisors: 1 2 4 7 8 14 16 28 56 112 1894859 3789718 7579436 13264013 15158872 26528026 30317744 53056052 106112104 212224208