Search a number
-
+
212221232300 = 2252711172370489
BaseRepresentation
bin1100010110100101011…
…1110000010010101100
3202021210001200121111202
43011221113300102230
511434112113413200
6241254301305032
721222016465610
oct3055127602254
9667701617452
10212221232300
1182003397990
1235168565178
131702126328c
14a3b324b340
1557c13451d5
hex31695f04ac

212221232300 has 288 divisors, whose sum is σ = 634369397760. Its totient is φ = 59548262400.

The previous prime is 212221232281. The next prime is 212221232303. The reversal of 212221232300 is 3232122212.

It is a happy number.

212221232300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (212221232303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 2975456 + ... + 3045944.

It is an arithmetic number, because the mean of its divisors is an integer number (2202671520).

Almost surely, 2212221232300 is an apocalyptic number.

212221232300 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 212221232300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (317184698880).

212221232300 is an abundant number, since it is smaller than the sum of its proper divisors (422148165460).

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

212221232300 is a wasteful number, since it uses less digits than its factorization.

212221232300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70561 (or 70554 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 20.

Adding to 212221232300 its reverse (3232122212), we get a palindrome (215453354512).

It can be divided in two parts, 2122212 and 32300, that added together give a palindrome (2154512).

The spelling of 212221232300 in words is "two hundred twelve billion, two hundred twenty-one million, two hundred thirty-two thousand, three hundred".