Search a number
-
+
223232121300000 = 253551549480379
BaseRepresentation
bin110010110000011101000111…
…010010101110010000100000
31002021101210010100112122002110
4302300131013102232100200
5213224413341023100000
62110435230520115320
765006663032155501
oct6260350722562040
91067353110478073
10223232121300000
116514623590838a
1221053a69905b40
1397739110c1967
143d1a6c6cd6ba8
151ac1ba6a8a850
hexcb07474ae420

223232121300000 has 288 divisors, whose sum is σ = 732907887768000. Its totient is φ = 59490011520000.

The previous prime is 223232121299947. The next prime is 223232121300037. The reversal of 223232121300000 is 3121232322.

It is a happy number.

It is a super-3 number, since 3×2232321213000003 (a number of 44 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 223232121300000.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 464459811 + ... + 464940189.

It is an arithmetic number, because the mean of its divisors is an integer number (2544819054750).

Almost surely, 2223232121300000 is an apocalyptic number.

223232121300000 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 223232121300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (366453943884000).

223232121300000 is an abundant number, since it is smaller than the sum of its proper divisors (509675766468000).

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

223232121300000 is an equidigital number, since it uses as much as digits as its factorization.

223232121300000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 481966 (or 481938 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 223232121300000 its reverse (3121232322), we get a palindrome (223235242532322).

The spelling of 223232121300000 in words is "two hundred twenty-three trillion, two hundred thirty-two billion, one hundred twenty-one million, three hundred thousand".