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22110426 = 23213611549
BaseRepresentation
bin101010001011…
…0000011011010
31112121022210200
41110112003122
521130013201
62105523030
7355635612
oct124260332
945538720
1022110426
1111531988
1274a3476
134771bc0
142d17a42
151e1b386
hex15160da

22110426 has 48 divisors (see below), whose sum is σ = 52470600. Its totient is φ = 6687360.

The previous prime is 22110419. The next prime is 22110443. The reversal of 22110426 is 62401122.

It can be written as a sum of positive squares in 4 ways, for example, as 7017201 + 15093225 = 2649^2 + 3885^2 .

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 = 22110399 and 22110408.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 13500 + ... + 15048.

Almost surely, 222110426 is an apocalyptic number.

22110426 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22110426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26235300).

22110426 is an abundant number, since it is smaller than the sum of its proper divisors (30360174).

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

22110426 is a wasteful number, since it uses less digits than its factorization.

22110426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1628 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 18.

The square root of 22110426 is about 4702.1724766325. The cubic root of 22110426 is about 280.6719660051.

Adding to 22110426 its reverse (62401122), we get a palindrome (84511548).

The spelling of 22110426 in words is "twenty-two million, one hundred ten thousand, four hundred twenty-six".

Divisors: 1 2 3 6 9 13 18 26 39 61 78 117 122 183 234 366 549 793 1098 1549 1586 2379 3098 4647 4758 7137 9294 13941 14274 20137 27882 40274 60411 94489 120822 181233 188978 283467 362466 566934 850401 1228357 1700802 2456714 3685071 7370142 11055213 22110426