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212464434 = 23713237809
BaseRepresentation
bin11001010100111…
…11001100110010
3112210210022102010
430222133030302
5413342330214
633025503350
75156626560
oct1452371462
9483708363
10212464434
11a9a26746
125b1a1b56
133502c800
1420308a30
15139bc659
hexca9f332

212464434 has 96 divisors (see below), whose sum is σ = 540743040. Its totient is φ = 54452736.

The previous prime is 212464433. The next prime is 212464451. The reversal of 212464434 is 434464212.

212464434 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 2×2124644342 = 90282271429880712, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (212464433) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 262222 + ... + 263030.

It is an arithmetic number, because the mean of its divisors is an integer number (5632740).

Almost surely, 2212464434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212464434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270371520).

212464434 is an abundant number, since it is smaller than the sum of its proper divisors (328278606).

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

212464434 is a wasteful number, since it uses less digits than its factorization.

212464434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 884 (or 871 counting only the distinct ones).

The product of its digits is 18432, while the sum is 30.

The square root of 212464434 is about 14576.1597823295. The cubic root of 212464434 is about 596.7083020095.

The spelling of 212464434 in words is "two hundred twelve million, four hundred sixty-four thousand, four hundred thirty-four".

Divisors: 1 2 3 6 7 13 14 21 26 37 39 42 74 78 91 111 169 182 222 259 273 338 481 507 518 546 777 809 962 1014 1183 1443 1554 1618 2366 2427 2886 3367 3549 4854 5663 6253 6734 7098 10101 10517 11326 12506 16989 18759 20202 21034 29933 31551 33978 37518 43771 59866 63102 73619 87542 89799 131313 136721 147238 179598 209531 220857 262626 273442 389129 410163 419062 441714 628593 778258 820326 957047 1167387 1257186 1914094 2334774 2723903 2871141 5058677 5447806 5742282 8171709 10117354 15176031 16343418 30352062 35410739 70821478 106232217 212464434