Search a number
-
+
212904219 = 31124712479
BaseRepresentation
bin11001011000010…
…10100100011011
3112211121122200110
430230022210123
5414000413334
633043135403
75163441003
oct1454124433
9484548613
10212904219
11aa1a7100
125b374563
1335154a38
14203c1003
1513a57ae9
hexcb0a91b

212904219 has 24 divisors (see below), whose sum is σ = 318689280. Its totient is φ = 126277360.

The previous prime is 212904217. The next prime is 212904227. The reversal of 212904219 is 912409212.

It is a happy number.

It is not a de Polignac number, because 212904219 - 21 = 212904217 is a prime.

It is a super-2 number, since 2×2129042192 = 90656412935999922, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (212904217) 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 23 ways as a sum of consecutive naturals, for example, 10822 + ... + 23300.

It is an arithmetic number, because the mean of its divisors is an integer number (13278720).

Almost surely, 2212904219 is an apocalyptic number.

212904219 is a deficient number, since it is larger than the sum of its proper divisors (105785061).

212904219 is a wasteful number, since it uses less digits than its factorization.

212904219 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12551 (or 12540 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 30.

The square root of 212904219 is about 14591.2377473606. The cubic root of 212904219 is about 597.1197316595.

The spelling of 212904219 in words is "two hundred twelve million, nine hundred four thousand, two hundred nineteen".

Divisors: 1 3 11 33 47 121 141 363 517 1551 5687 12479 17061 37437 137269 411807 586513 1509959 1759539 4529877 6451643 19354929 70968073 212904219