Search a number
-
+
212223040420 = 22517236716789
BaseRepresentation
bin1100010110100101111…
…0101001101110100100
3202021210012002110210011
43011221132221232210
511434113044243140
6241254404140004
721222041036236
oct3055136515644
9667705073704
10212223040420
11820044123a6
1235169097604
1317021747281
14a3b359c256
1557c15a0cea
hex31697a9ba4

212223040420 has 36 divisors (see below), whose sum is σ = 473426290260. Its totient is φ = 79895730688.

The previous prime is 212223040417. The next prime is 212223040423. The reversal of 212223040420 is 24040322212.

It is an interprime number because it is at equal distance from previous prime (212223040417) and next prime (212223040423).

It can be written as a sum of positive squares in 6 ways, for example, as 15479341056 + 196743699364 = 124416^2 + 443558^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212223040391 and 212223040400.

It is not an unprimeable number, because it can be changed into a prime (212223040423) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 18352615 + ... + 18364174.

It is an arithmetic number, because the mean of its divisors is an integer number (13150730285).

Almost surely, 2212223040420 is an apocalyptic number.

212223040420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

212223040420 is an abundant number, since it is smaller than the sum of its proper divisors (261203249840).

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

212223040420 is a wasteful number, since it uses less digits than its factorization.

212223040420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36716832 (or 36716813 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

Adding to 212223040420 its reverse (24040322212), we get a palindrome (236263362632).

The spelling of 212223040420 in words is "two hundred twelve billion, two hundred twenty-three million, forty thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 289 340 578 1156 1445 2890 5780 36716789 73433578 146867156 183583945 367167890 624185413 734335780 1248370826 2496741652 3120927065 6241854130 10611152021 12483708260 21222304042 42444608084 53055760105 106111520210 212223040420