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212893434 = 23413101089
BaseRepresentation
bin11001011000001…
…11111011111010
3112211121002220000
430230013323322
5414000042214
633043013430
75163364365
oct1454077372
9484532800
10212893434
11aa199a96
125b36a276
133514cb60
14203bb0dc
1513a54809
hexcb07efa

212893434 has 40 divisors (see below), whose sum is σ = 513739380. Its totient is φ = 65505024.

The previous prime is 212893433. The next prime is 212893453. The reversal of 212893434 is 434398212.

212893434 is a `hidden beast` number, since 212 + 8 + 9 + 3 + 434 = 666.

212893434 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 178142409 + 34751025 = 13347^2 + 5895^2 .

It is a super-2 number, since 2×2128934342 = 90647228480624712, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212893433) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 48439 + ... + 52650.

Almost surely, 2212893434 is an apocalyptic number.

212893434 is an abundant number, since it is smaller than the sum of its proper divisors (300845946).

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

212893434 is a wasteful number, since it uses less digits than its factorization.

212893434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101116 (or 101107 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The square root of 212893434 is about 14590.8681715654. The cubic root of 212893434 is about 597.1096488077.

The spelling of 212893434 in words is "two hundred twelve million, eight hundred ninety-three thousand, four hundred thirty-four".

Divisors: 1 2 3 6 9 13 18 26 27 39 54 78 81 117 162 234 351 702 1053 2106 101089 202178 303267 606534 909801 1314157 1819602 2628314 2729403 3942471 5458806 7884942 8188209 11827413 16376418 23654826 35482239 70964478 106446717 212893434