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212201224420 = 225411193216917
BaseRepresentation
bin1100010110100000101…
…1011011100011100100
3202021201200001002212011
43011220023123203210
511434042003140140
6241252304404004
721221354434603
oct3055013334344
9667650032764
10212201224420
1181aa3071749
1235161916604
131701a0793b3
14a3b071da3a
1557be6e1cea
hex31682db8e4

212201224420 has 48 divisors (see below), whose sum is σ = 456876162288. Its totient is φ = 82740439040.

The previous prime is 212201224409. The next prime is 212201224421. The reversal of 212201224420 is 24422102212.

It can be written as a sum of positive squares in 8 ways, for example, as 21611352064 + 190589872356 = 147008^2 + 436566^2 .

It is a junction number, because it is equal to n+sod(n) for n = 212201224391 and 212201224400.

It is not an unprimeable number, because it can be changed into a prime (212201224421) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 869802 + ... + 1086718.

It is an arithmetic number, because the mean of its divisors is an integer number (9518253381).

Almost surely, 2212201224420 is an apocalyptic number.

212201224420 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 212201224420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228438081144).

212201224420 is an abundant number, since it is smaller than the sum of its proper divisors (244674937868).

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

212201224420 is a wasteful number, since it uses less digits than its factorization.

212201224420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218160 (or 218158 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 22.

Adding to 212201224420 its reverse (24422102212), we get a palindrome (236623326632).

The spelling of 212201224420 in words is "two hundred twelve billion, two hundred one million, two hundred twenty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 1193 2386 4772 5965 11930 23860 48913 97826 195652 216917 244565 433834 489130 867668 978260 1084585 2169170 4338340 8893597 17787194 35574388 44467985 88935970 177871940 258781981 517563962 1035127924 1293909905 2587819810 5175639620 10610061221 21220122442 42440244884 53050306105 106100612210 212201224420