Search a number
-
+
212488929 = 324321132
BaseRepresentation
bin11001010101001…
…01001011100001
3112210211120000100
430222211023201
5413344121204
633030213013
75160061152
oct1452451341
9483746010
10212488929
11a9a43094
125b1b4169
133503a9c3
1420313929
15139c4a39
hexcaa52e1

212488929 has 27 divisors (see below), whose sum is σ = 317037747. Its totient is φ = 137140416.

The previous prime is 212488921. The next prime is 212488949. The reversal of 212488929 is 929884212.

It is a happy number.

The square root of 212488929 is 14577.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 3744225 + 208744704 = 1935^2 + 14448^2 .

It is not a de Polignac number, because 212488929 - 23 = 212488921 is a prime.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (212488921) 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 26 ways as a sum of consecutive naturals, for example, 1880377 + ... + 1880489.

Almost surely, 2212488929 is an apocalyptic number.

212488929 is the 14577-th square number.

212488929 is the 7289-th centered octagonal number.

It is an amenable number.

212488929 is a deficient number, since it is larger than the sum of its proper divisors (104548818).

212488929 is an equidigital number, since it uses as much as digits as its factorization.

212488929 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 159 counting only the distinct ones).

The product of its digits is 165888, while the sum is 45.

The cubic root of 212488929 is about 596.7312326053.

The spelling of 212488929 in words is "two hundred twelve million, four hundred eighty-eight thousand, nine hundred twenty-nine".

Divisors: 1 3 9 43 113 129 339 387 1017 1849 4859 5547 12769 14577 16641 38307 43731 114921 208937 549067 626811 1647201 1880433 4941603 23609881 70829643 212488929