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212664474 = 233111512371
BaseRepresentation
bin11001010110100…
…00000010011010
3112211011110211000
430223100002122
5413420230344
633034045430
75161422021
oct1453200232
9484143730
10212664474
11aa052a70
125b279876
133509c889
142035b8b8
1513a0ba69
hexcad009a

212664474 has 64 divisors (see below), whose sum is σ = 519183360. Its totient is φ = 63990000.

The previous prime is 212664467. The next prime is 212664479. The reversal of 212664474 is 474466212.

212664474 is a `hidden beast` number, since 2 + 1 + 2 + 6 + 644 + 7 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (212664479) 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 31 ways as a sum of consecutive naturals, for example, 88509 + ... + 90879.

It is an arithmetic number, because the mean of its divisors is an integer number (8112240).

Almost surely, 2212664474 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212664474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259591680).

212664474 is an abundant number, since it is smaller than the sum of its proper divisors (306518886).

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

212664474 is a wasteful number, since it uses less digits than its factorization.

212664474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2544 (or 2538 counting only the distinct ones).

The product of its digits is 64512, while the sum is 36.

The square root of 212664474 is about 14583.0200575875. The cubic root of 212664474 is about 596.8955146554.

The spelling of 212664474 in words is "two hundred twelve million, six hundred sixty-four thousand, four hundred seventy-four".

Divisors: 1 2 3 6 9 11 18 22 27 33 54 66 99 151 198 297 302 453 594 906 1359 1661 2371 2718 3322 4077 4742 4983 7113 8154 9966 14226 14949 21339 26081 29898 42678 44847 52162 64017 78243 89694 128034 156486 234729 358021 469458 704187 716042 1074063 1408374 2148126 3222189 3938231 6444378 7876462 9666567 11814693 19333134 23629386 35444079 70888158 106332237 212664474