Search a number
-
+
22001300 = 2252220013
BaseRepresentation
bin101001111101…
…1011010010100
31112101210002222
41103323122110
521113020200
62103321512
7355002506
oct123733224
945353088
1022001300
11114679a2
127450298
134734329
142cc9d76
151de8d85
hex14fb694

22001300 has 18 divisors (see below), whose sum is σ = 47743038. Its totient is φ = 8800480.

The previous prime is 22001261. The next prime is 22001303. The reversal of 22001300 is 310022.

It can be written as a sum of positive squares in 3 ways, for example, as 1948816 + 20052484 = 1396^2 + 4478^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22001303) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 109907 + ... + 110106.

It is an arithmetic number, because the mean of its divisors is an integer number (2652391).

Almost surely, 222001300 is an apocalyptic number.

22001300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22001300 is an abundant number, since it is smaller than the sum of its proper divisors (25741738).

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

22001300 is a wasteful number, since it uses less digits than its factorization.

22001300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 220027 (or 220020 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 8.

The square root of 22001300 is about 4690.5543382419. The cubic root of 22001300 is about 280.2094521252.

Adding to 22001300 its reverse (310022), we get a palindrome (22311322).

The spelling of 22001300 in words is "twenty-two million, one thousand, three hundred".

Divisors: 1 2 4 5 10 20 25 50 100 220013 440026 880052 1100065 2200130 4400260 5500325 11000650 22001300