Search a number
-
+
22461472 = 251125801
BaseRepresentation
bin101010110101…
…1110000100000
31120021011100101
41111223300200
521222231342
62121232144
7361630225
oct125536040
946234311
1022461472
1111751700
127632654
134865917
142da994c
151e8a3b7
hex156bc20

22461472 has 36 divisors (see below), whose sum is σ = 48614958. Its totient is φ = 10208000.

The previous prime is 22461469. The next prime is 22461473. The reversal of 22461472 is 27416422.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 12702096 + 9759376 = 3564^2 + 3124^2 .

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 22461472.

It is not an unprimeable number, because it can be changed into a prime (22461473) by changing a digit.

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 5 ways as a sum of consecutive naturals, for example, 972 + ... + 6772.

Almost surely, 222461472 is an apocalyptic number.

22461472 is a gapful number since it is divisible by the number (22) 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 22461472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24307479).

22461472 is an abundant number, since it is smaller than the sum of its proper divisors (26153486).

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

22461472 is a wasteful number, since it uses less digits than its factorization.

22461472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5833 (or 5814 counting only the distinct ones).

The product of its digits is 5376, while the sum is 28.

The square root of 22461472 is about 4739.3535424148. The cubic root of 22461472 is about 282.1495777739.

Adding to 22461472 its reverse (27416422), we get a palindrome (49877894).

The spelling of 22461472 in words is "twenty-two million, four hundred sixty-one thousand, four hundred seventy-two".

Divisors: 1 2 4 8 11 16 22 32 44 88 121 176 242 352 484 968 1936 3872 5801 11602 23204 46408 63811 92816 127622 185632 255244 510488 701921 1020976 1403842 2041952 2807684 5615368 11230736 22461472