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22125150 = 23652607
BaseRepresentation
bin101010001100…
…1101001011110
31112122002000000
41110121221132
521131001100
62110115130
7356026545
oct124315136
945562000
1022125150
1111541a53
1274abaa6
134778808
142d1d15c
151e20900
hex1519a5e

22125150 has 84 divisors (see below), whose sum is σ = 61802592. Its totient is φ = 5890320.

The previous prime is 22125113. The next prime is 22125151. The reversal of 22125150 is 5152122.

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

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22125151) by changing a digit.

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 41 ways as a sum of consecutive naturals, for example, 36147 + ... + 36753.

Almost surely, 222125150 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22125150, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30901296).

22125150 is an abundant number, since it is smaller than the sum of its proper divisors (39677442).

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

22125150 is an equidigital number, since it uses as much as digits as its factorization.

22125150 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 637 (or 617 counting only the distinct ones).

The product of its (nonzero) digits is 200, while the sum is 18.

The square root of 22125150 is about 4703.7378753498. The cubic root of 22125150 is about 280.7342548249.

Adding to 22125150 its reverse (5152122), we get a palindrome (27277272).

The spelling of 22125150 in words is "twenty-two million, one hundred twenty-five thousand, one hundred fifty".

Divisors: 1 2 3 5 6 9 10 15 18 25 27 30 45 50 54 75 81 90 135 150 162 225 243 270 405 450 486 607 675 729 810 1214 1215 1350 1458 1821 2025 2430 3035 3642 3645 4050 5463 6070 6075 7290 9105 10926 12150 15175 16389 18210 18225 27315 30350 32778 36450 45525 49167 54630 81945 91050 98334 136575 147501 163890 245835 273150 295002 409725 442503 491670 737505 819450 885006 1229175 1475010 2212515 2458350 3687525 4425030 7375050 11062575 22125150