Search a number
-
+
22442420 = 225711131959
BaseRepresentation
bin101010110011…
…1000110110100
31120020012012202
41111213012310
521221124140
62121004032
7361520540
oct125470664
946205182
1022442420
1111739360
127623618
13485a050
142da2a20
151e84915
hex15671b4

22442420 has 192 divisors, whose sum is σ = 67737600. Its totient is φ = 6013440.

The previous prime is 22442393. The next prime is 22442423. The reversal of 22442420 is 2424422.

22442420 = 3232 + 3242 + ... + 4652.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 22442392 and 22442401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22442423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 380351 + ... + 380409.

It is an arithmetic number, because the mean of its divisors is an integer number (352800).

Almost surely, 222442420 is an apocalyptic number.

22442420 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 22442420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33868800).

22442420 is an abundant number, since it is smaller than the sum of its proper divisors (45295180).

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

22442420 is a wasteful number, since it uses less digits than its factorization.

22442420 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 116 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

The square root of 22442420 is about 4737.3431372448. The cubic root of 22442420 is about 282.0697813663.

Adding to 22442420 its reverse (2424422), we get a palindrome (24866842).

It can be divided in two parts, 2244 and 2420, that added together give a palindrome (4664).

The spelling of 22442420 in words is "twenty-two million, four hundred forty-two thousand, four hundred twenty".