Search a number
-
+
2221123123220 = 225144617679701
BaseRepresentation
bin100000010100100101010…
…000010011100000010100
321212100002220000101010112
4200110211100103200110
5242342330004420340
64420211520542152
7316320334016501
oct40244520234024
97770086011115
102221123123220
11786a7810a111
122ba575781958
131315b2b46a11
14797080944a8
153cb9aac0065
hex20525413814

2221123123220 has 24 divisors (see below), whose sum is σ = 4664681713608. Its totient is φ = 888387696000.

The previous prime is 2221123123213. The next prime is 2221123123223. The reversal of 2221123123220 is 223213211222.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 253045217296 + 1968077905924 = 503036^2 + 1402882^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2221123123223) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3550631 + ... + 4129070.

It is an arithmetic number, because the mean of its divisors is an integer number (194361738067).

Almost surely, 22221123123220 is an apocalyptic number.

2221123123220 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2221123123220 is an abundant number, since it is smaller than the sum of its proper divisors (2443558590388).

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

2221123123220 is a wasteful number, since it uses less digits than its factorization.

2221123123220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7694171 (or 7694169 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

Adding to 2221123123220 its reverse (223213211222), we get a palindrome (2444336334442).

The spelling of 2221123123220 in words is "two trillion, two hundred twenty-one billion, one hundred twenty-three million, one hundred twenty-three thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 14461 28922 57844 72305 144610 289220 7679701 15359402 30718804 38398505 76797010 153594020 111056156161 222112312322 444224624644 555280780805 1110561561610 2221123123220