Search a number
-
+
221030203212 = 2232713374342407
BaseRepresentation
bin1100110111011001101…
…1010011111101001100
3210010111222022200212200
43031312123103331030
512110132213000322
6245312340201500
721653222504550
oct3156633237514
9703458280780
10221030203212
1185813873135
1236a06699290
1317ac627a5c0
14a9ab137860
155b3988a8ac
hex33766d3f4c

221030203212 has 288 divisors, whose sum is σ = 722675745792. Its totient is φ = 55397841408.

The previous prime is 221030203189. The next prime is 221030203213. The reversal of 221030203212 is 212302030122.

221030203212 is a `hidden beast` number, since 221 + 0 + 30 + 203 + 212 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (221030203213) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5190913 + ... + 5233319.

It is an arithmetic number, because the mean of its divisors is an integer number (2509290784).

Almost surely, 2221030203212 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 221030203212, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (361337872896).

221030203212 is an abundant number, since it is smaller than the sum of its proper divisors (501645542580).

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

221030203212 is a wasteful number, since it uses less digits than its factorization.

221030203212 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42517 (or 42512 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

Adding to 221030203212 its reverse (212302030122), we get a palindrome (433332233334).

The spelling of 221030203212 in words is "two hundred twenty-one billion, thirty million, two hundred three thousand, two hundred twelve".