Search a number
-
+
212108144704 = 2623225032
BaseRepresentation
bin1100010110001010100…
…0010111000001000000
3202021111011220011111021
43011202220113001000
511433344141112304
6241235141355224
721216144324301
oct3054250270100
9667434804437
10212108144704
1181a55577565
1235136708b14
13170039b9741
14a3a22107a8
1557b6457a54
hex3162a17040

212108144704 has 63 divisors (see below), whose sum is σ = 440173705503. Its totient is φ = 101402497152.

The previous prime is 212108144669. The next prime is 212108144719. The reversal of 212108144704 is 407441801212.

The square root of 212108144704 is 460552.

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

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 212108144704.

It is an unprimeable number.

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 8 ways as a sum of consecutive naturals, for example, 84740317 + ... + 84742819.

Almost surely, 2212108144704 is an apocalyptic number.

212108144704 is the 460552-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212108144704

212108144704 is an abundant number, since it is smaller than the sum of its proper divisors (228065560799).

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

212108144704 is an frugal number, since it uses more digits than its factorization.

212108144704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5064 (or 2528 counting only the distinct ones).

The product of its (nonzero) digits is 14336, while the sum is 34.

Adding to 212108144704 its reverse (407441801212), we get a palindrome (619549945916).

The spelling of 212108144704 in words is "two hundred twelve billion, one hundred eight million, one hundred forty-four thousand, seven hundred four".

Divisors: 1 2 4 8 16 23 32 46 64 92 184 368 529 736 1058 1472 2116 2503 4232 5006 8464 10012 16928 20024 33856 40048 57569 80096 115138 160192 230276 460552 921104 1324087 1842208 2648174 3684416 5296348 6265009 10592696 12530018 21185392 25060036 42370784 50120072 84741568 100240144 144095207 200480288 288190414 400960576 576380828 1152761656 2305523312 3314189761 4611046624 6628379522 9222093248 13256759044 26513518088 53027036176 106054072352 212108144704