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22420144 = 2417139593
BaseRepresentation
bin101010110000…
…1101010110000
31120012001122201
41111201222300
521214421034
62120312544
7361365565
oct125415260
946161581
1022420144
111172364a
127612754
13484cb76
142d9886c
151e7d014
hex1561ab0

22420144 has 40 divisors (see below), whose sum is σ = 46403280. Its totient is φ = 10457088.

The previous prime is 22420141. The next prime is 22420159. The reversal of 22420144 is 44102422.

It is not an unprimeable number, because it can be changed into a prime (22420141) 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 7 ways as a sum of consecutive naturals, for example, 37512 + ... + 38104.

It is an arithmetic number, because the mean of its divisors is an integer number (1160082).

Almost surely, 222420144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22420144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23201640).

22420144 is an abundant number, since it is smaller than the sum of its proper divisors (23983136).

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

22420144 is a wasteful number, since it uses less digits than its factorization.

22420144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 757 (or 751 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 19.

The square root of 22420144 is about 4734.9914466660. The cubic root of 22420144 is about 281.9764244329.

Adding to 22420144 its reverse (44102422), we get a palindrome (66522566).

The spelling of 22420144 in words is "twenty-two million, four hundred twenty thousand, one hundred forty-four".

Divisors: 1 2 4 8 16 17 34 68 136 139 272 278 556 593 1112 1186 2224 2363 2372 4726 4744 9452 9488 10081 18904 20162 37808 40324 80648 82427 161296 164854 329708 659416 1318832 1401259 2802518 5605036 11210072 22420144