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22020144 = 243795807
BaseRepresentation
bin101010000000…
…0000000110000
31112102201221220
41110000000300
521114121034
62103545040
7355111446
oct124000060
945381856
1022020144
1111480073
12745b180
13473ca93
142cd2b96
151dee749
hex1500030

22020144 has 40 divisors (see below), whose sum is σ = 57615360. Its totient is φ = 7245888.

The previous prime is 22020133. The next prime is 22020161. The reversal of 22020144 is 44102022.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 889 + ... + 6695.

It is an arithmetic number, because the mean of its divisors is an integer number (1440384).

Almost surely, 222020144 is an apocalyptic number.

22020144 is a gapful number since it is divisible by the number (24) 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 22020144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28807680).

22020144 is an abundant number, since it is smaller than the sum of its proper divisors (35595216).

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

22020144 is a wasteful number, since it uses less digits than its factorization.

22020144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5897 (or 5891 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 15.

The square root of 22020144 is about 4692.5626261138. The cubic root of 22020144 is about 280.2894286134.

Adding to 22020144 its reverse (44102022), we get a palindrome (66122166).

The spelling of 22020144 in words is "twenty-two million, twenty thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 79 158 237 316 474 632 948 1264 1896 3792 5807 11614 17421 23228 34842 46456 69684 92912 139368 278736 458753 917506 1376259 1835012 2752518 3670024 5505036 7340048 11010072 22020144