Search a number
-
+
22245300 = 223352711107
BaseRepresentation
bin101010011011…
…0111110110100
31112212011211000
41110312332310
521143322200
62112443300
7360040050
oct124667664
945764730
1022245300
1111614250
127549530
1347bb3cc
142d50c60
151e46300
hex1536fb4

22245300 has 288 divisors, whose sum is σ = 89994240. Its totient is φ = 4579200.

The previous prime is 22245287. The next prime is 22245323. The reversal of 22245300 is 354222.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 207847 + ... + 207953.

It is an arithmetic number, because the mean of its divisors is an integer number (312480).

Almost surely, 222245300 is an apocalyptic number.

22245300 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 22245300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44997120).

22245300 is an abundant number, since it is smaller than the sum of its proper divisors (67748940).

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

22245300 is a wasteful number, since it uses less digits than its factorization.

22245300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 148 (or 135 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 18.

The square root of 22245300 is about 4716.4923407125. The cubic root of 22245300 is about 281.2415108549.

Adding to 22245300 its reverse (354222), we get a palindrome (22599522).

The spelling of 22245300 in words is "twenty-two million, two hundred forty-five thousand, three hundred".