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22125642 = 2371183577
BaseRepresentation
bin101010001100…
…1110001001010
31112122002200020
41110121301022
521131010032
62110121310
7356031150
oct124316112
945562606
1022125642
1111542360
1274b0236
134778ac6
142d1d3d0
151e20b2c
hex1519c4a

22125642 has 64 divisors (see below), whose sum is σ = 55931904. Its totient is φ = 5667840.

The previous prime is 22125629. The next prime is 22125647. The reversal of 22125642 is 24652122.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (22125647) 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, 38058 + ... + 38634.

It is an arithmetic number, because the mean of its divisors is an integer number (873936).

Almost surely, 222125642 is an apocalyptic number.

22125642 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 22125642, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27965952).

22125642 is an abundant number, since it is smaller than the sum of its proper divisors (33806262).

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

22125642 is a wasteful number, since it uses less digits than its factorization.

22125642 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 683.

The product of its digits is 1920, while the sum is 24.

The square root of 22125642 is about 4703.7901738917. The cubic root of 22125642 is about 280.7363357182.

Adding to 22125642 its reverse (24652122), we get a palindrome (46777764).

The spelling of 22125642 in words is "twenty-two million, one hundred twenty-five thousand, six hundred forty-two".

Divisors: 1 2 3 6 7 11 14 21 22 33 42 66 77 83 154 166 231 249 462 498 577 581 913 1154 1162 1731 1743 1826 2739 3462 3486 4039 5478 6347 6391 8078 12117 12694 12782 19041 19173 24234 38082 38346 44429 47891 88858 95782 133287 143673 266574 287346 335237 526801 670474 1005711 1053602 1580403 2011422 3160806 3687607 7375214 11062821 22125642