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213166434 = 231317198461
BaseRepresentation
bin11001011010010…
…10100101100010
3112212002222101010
430231022211202
5414032311214
633052521350
75165612325
oct1455124542
9485088333
10213166434
11aa366108
125b480256
13352171b0
142044c7bc
1513aaa659
hexcb4a962

213166434 has 64 divisors (see below), whose sum is σ = 511781760. Its totient is φ = 58475520.

The previous prime is 213166409. The next prime is 213166439. The reversal of 213166434 is 434661312.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (213166439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20964 + ... + 29424.

It is an arithmetic number, because the mean of its divisors is an integer number (7996590).

Almost surely, 2213166434 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213166434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255890880).

213166434 is an abundant number, since it is smaller than the sum of its proper divisors (298615326).

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

213166434 is a wasteful number, since it uses less digits than its factorization.

213166434 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8515.

The product of its digits is 10368, while the sum is 30.

The square root of 213166434 is about 14600.2203408031. The cubic root of 213166434 is about 597.3647706663.

The spelling of 213166434 in words is "two hundred thirteen million, one hundred sixty-six thousand, four hundred thirty-four".

Divisors: 1 2 3 6 13 17 19 26 34 38 39 51 57 78 102 114 221 247 323 442 494 646 663 741 969 1326 1482 1938 4199 8398 8461 12597 16922 25194 25383 50766 109993 143837 160759 219986 287674 321518 329979 431511 482277 659958 863022 964554 1869881 2089867 2732903 3739762 4179734 5465806 5609643 6269601 8198709 11219286 12539202 16397418 35527739 71055478 106583217 213166434