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22224144 = 243463003
BaseRepresentation
bin101010011000…
…1110100010000
31112211002210110
41110301310100
521142133034
62112201320
7356621265
oct124616420
945732713
1022224144
11115aa368
127539240
1347b18a7
142d4726c
151e3ede9
hex1531d10

22224144 has 20 divisors (see below), whose sum is σ = 57412496. Its totient is φ = 7408032.

The previous prime is 22224131. The next prime is 22224149. The reversal of 22224144 is 44142222.

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 22224144.

It is not an unprimeable number, because it can be changed into a prime (22224149) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 231454 + ... + 231549.

Almost surely, 222224144 is an apocalyptic number.

22224144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22224144 is an abundant number, since it is smaller than the sum of its proper divisors (35188352).

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

22224144 is a wasteful number, since it uses less digits than its factorization.

22224144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 463014 (or 463008 counting only the distinct ones).

The product of its digits is 1024, while the sum is 21.

The square root of 22224144 is about 4714.2490388184. The cubic root of 22224144 is about 281.1523259844.

Adding to 22224144 its reverse (44142222), we get a palindrome (66366366).

The spelling of 22224144 in words is "twenty-two million, two hundred twenty-four thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 463003 926006 1389009 1852012 2778018 3704024 5556036 7408048 11112072 22224144