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22444420 = 22517251263
BaseRepresentation
bin101010110011…
…1100110000100
31120020021221211
41111213212010
521221210140
62121021204
7361526425
oct125474604
946207854
1022444420
111173a909
127624804
13485ac2b
142da364c
151e852ea
hex1567984

22444420 has 48 divisors (see below), whose sum is σ = 50295168. Its totient is φ = 8384000.

The previous prime is 22444393. The next prime is 22444423. The reversal of 22444420 is 2444422.

It is a junction number, because it is equal to n+sod(n) for n = 22444391 and 22444400.

It is not an unprimeable number, because it can be changed into a prime (22444423) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 85209 + ... + 85471.

It is an arithmetic number, because the mean of its divisors is an integer number (1047816).

Almost surely, 222444420 is an apocalyptic number.

22444420 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 22444420, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25147584).

22444420 is an abundant number, since it is smaller than the sum of its proper divisors (27850748).

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

22444420 is a wasteful number, since it uses less digits than its factorization.

22444420 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 540 (or 538 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 22.

The square root of 22444420 is about 4737.5542213256. The cubic root of 22444420 is about 282.0781601835.

Adding to 22444420 its reverse (2444422), we get a palindrome (24888842).

It can be divided in two parts, 224 and 44420, that added together give a palindrome (44644).

The spelling of 22444420 in words is "twenty-two million, four hundred forty-four thousand, four hundred twenty".

Divisors: 1 2 4 5 10 17 20 34 68 85 170 251 263 340 502 526 1004 1052 1255 1315 2510 2630 4267 4471 5020 5260 8534 8942 17068 17884 21335 22355 42670 44710 66013 85340 89420 132026 264052 330065 660130 1122221 1320260 2244442 4488884 5611105 11222210 22444420