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22105020 = 2235752631
BaseRepresentation
bin101010001010…
…0101110111100
31112121001101110
41110110232330
521124330040
62105442020
7355614060
oct124245674
945531343
1022105020
1111528913
1274a0310
13476c5c2
142d15aa0
151e19980
hex1514bbc

22105020 has 48 divisors (see below), whose sum is σ = 70737408. Its totient is φ = 5052480.

The previous prime is 22104991. The next prime is 22105043. The reversal of 22105020 is 2050122.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 22104987 and 22105005.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 25896 + ... + 26735.

It is an arithmetic number, because the mean of its divisors is an integer number (1473696).

Almost surely, 222105020 is an apocalyptic number.

22105020 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22105020 is an abundant number, since it is smaller than the sum of its proper divisors (48632388).

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

22105020 is a wasteful number, since it uses less digits than its factorization.

22105020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52650 (or 52648 counting only the distinct ones).

The product of its (nonzero) digits is 40, while the sum is 12.

The square root of 22105020 is about 4701.5976008161. The cubic root of 22105020 is about 280.6490893718.

Adding to 22105020 its reverse (2050122), we get a palindrome (24155142).

The spelling of 22105020 in words is "twenty-two million, one hundred five thousand, twenty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 60 70 84 105 140 210 420 52631 105262 157893 210524 263155 315786 368417 526310 631572 736834 789465 1052620 1105251 1473668 1578930 1842085 2210502 3157860 3684170 4421004 5526255 7368340 11052510 22105020