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22048026 = 23711133671
BaseRepresentation
bin101010000011…
…0110100011010
31112111011012120
41110012310122
521121014101
62104322110
7355255650
oct124066432
945434176
1022048026
111149a010
127473336
13474c690
142cdcdd0
151e07b36
hex1506d1a

22048026 has 64 divisors (see below), whose sum is σ = 59222016. Its totient is φ = 5284800.

The previous prime is 22048021. The next prime is 22048049. The reversal of 22048026 is 62084022.

It is a super-2 number, since 2×220480262 = 972230900993352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22047987 and 22048005.

It is not an unprimeable number, because it can be changed into a prime (22048021) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 4171 + ... + 7841.

It is an arithmetic number, because the mean of its divisors is an integer number (925344).

Almost surely, 222048026 is an apocalyptic number.

22048026 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 22048026, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29611008).

22048026 is an abundant number, since it is smaller than the sum of its proper divisors (37173990).

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

22048026 is a wasteful number, since it uses less digits than its factorization.

22048026 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3707.

The product of its (nonzero) digits is 1536, while the sum is 24.

The square root of 22048026 is about 4695.5325576552. The cubic root of 22048026 is about 280.4076799395.

The spelling of 22048026 in words is "twenty-two million, forty-eight thousand, twenty-six".

Divisors: 1 2 3 6 7 11 13 14 21 22 26 33 39 42 66 77 78 91 143 154 182 231 273 286 429 462 546 858 1001 2002 3003 3671 6006 7342 11013 22026 25697 40381 47723 51394 77091 80762 95446 121143 143169 154182 242286 282667 286338 334061 524953 565334 668122 848001 1002183 1049906 1574859 1696002 2004366 3149718 3674671 7349342 11024013 22048026