Search a number
-
+
2226900060 = 2233573111093
BaseRepresentation
bin1000010010111011…
…1100110001011100
312202012022020121000
42010232330301130
514030041300220
61004550110300
7106120224000
oct20456746134
95665266530
102226900060
11a43032a80
1252194b390
1329648c658
14171a80700
15d0782390
hex84bbcc5c

2226900060 has 384 divisors, whose sum is σ = 8822016000. Its totient is φ = 462309120.

The previous prime is 2226900031. The next prime is 2226900079. The reversal of 2226900060 is 600096222.

2226900060 is digitally balanced in base 2, 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 (27).

It is a junction number, because it is equal to n+sod(n) for n = 2226899997 and 2226900033.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 2036874 + ... + 2037966.

It is an arithmetic number, because the mean of its divisors is an integer number (22974000).

Almost surely, 22226900060 is an apocalyptic number.

2226900060 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 2226900060, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4411008000).

2226900060 is an abundant number, since it is smaller than the sum of its proper divisors (6595115940).

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

2226900060 is a wasteful number, since it uses less digits than its factorization.

2226900060 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1143 (or 1121 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 2226900060 is about 47190.0419580233. The cubic root of 2226900060 is about 1305.8708944339.

Adding to 2226900060 its reverse (600096222), we get a palindrome (2826996282).

The spelling of 2226900060 in words is "two billion, two hundred twenty-six million, nine hundred thousand, sixty".