Search a number
-
+
22452300 = 2232521319101
BaseRepresentation
bin101010110100…
…1100001001100
31120020200202200
41111221201030
521221433200
62121121500
7361561413
oct125514114
946220680
1022452300
1111745822
127629290
1348616b0
142da647a
151e87800
hex156984c

22452300 has 216 divisors, whose sum is σ = 80567760. Its totient is φ = 5184000.

The previous prime is 22452289. The next prime is 22452361. The reversal of 22452300 is 325422.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 222250 + ... + 222350.

Almost surely, 222452300 is an apocalyptic number.

22452300 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 22452300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (40283880).

22452300 is an abundant number, since it is smaller than the sum of its proper divisors (58115460).

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

22452300 is a wasteful number, since it uses less digits than its factorization.

22452300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 153 (or 143 counting only the distinct ones).

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

The square root of 22452300 is about 4738.3858010930. The cubic root of 22452300 is about 282.1111678802. Note that the first 4 decimals are identical.

Adding to 22452300 its reverse (325422), we get a palindrome (22777722).

The spelling of 22452300 in words is "twenty-two million, four hundred fifty-two thousand, three hundred".