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22004424 = 23321323509
BaseRepresentation
bin101001111110…
…0001011001000
31112101221101200
41103330023020
521113120144
62103344200
7355014561
oct123741310
945357350
1022004424
111146a282
127452060
134735890
142ccb168
151de9c69
hex14fc2c8

22004424 has 48 divisors (see below), whose sum is σ = 64182300. Its totient is φ = 6770304.

The previous prime is 22004419. The next prime is 22004429. The reversal of 22004424 is 42440022.

22004424 is a `hidden beast` number, since 220 + 0 + 442 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (22004419) and next prime (22004429).

It can be written as a sum of positive squares in 2 ways, for example, as 21622500 + 381924 = 4650^2 + 618^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 22004397 and 22004406.

It is not an unprimeable number, because it can be changed into a prime (22004429) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10819 + ... + 12690.

Almost surely, 222004424 is an apocalyptic number.

22004424 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

22004424 is an abundant number, since it is smaller than the sum of its proper divisors (42177876).

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

22004424 is a wasteful number, since it uses less digits than its factorization.

22004424 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23534 (or 23527 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 22004424 is about 4690.8873361018. The cubic root of 22004424 is about 280.2227139612. Note that the first 3 decimals are identical.

Adding to 22004424 its reverse (42440022), we get a palindrome (64444446).

The spelling of 22004424 in words is "twenty-two million, four thousand, four hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 13 18 24 26 36 39 52 72 78 104 117 156 234 312 468 936 23509 47018 70527 94036 141054 188072 211581 282108 305617 423162 564216 611234 846324 916851 1222468 1692648 1833702 2444936 2750553 3667404 5501106 7334808 11002212 22004424