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20225142 = 2327223997
BaseRepresentation
bin100110100100…
…1110001110110
31102001112200100
41031021301312
520134201032
62001254530
7333624300
oct115116166
942045610
1020225142
11104644a3
126934446
134261a52
142986970
151b9797c
hex1349c76

20225142 has 72 divisors (see below), whose sum is σ = 53245296. Its totient is φ = 5521824.

The previous prime is 20225137. The next prime is 20225143. The reversal of 20225142 is 24152202.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20225143) 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 35 ways as a sum of consecutive naturals, for example, 19788 + ... + 20784.

It is an arithmetic number, because the mean of its divisors is an integer number (739518).

Almost surely, 220225142 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 20225142, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26622648).

20225142 is an abundant number, since it is smaller than the sum of its proper divisors (33020154).

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

20225142 is a wasteful number, since it uses less digits than its factorization.

20225142 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1042 (or 1032 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 20225142 is about 4497.2371518522. The cubic root of 20225142 is about 272.4565124330.

Adding to 20225142 its reverse (24152202), we get a palindrome (44377344).

The spelling of 20225142 in words is "twenty million, two hundred twenty-five thousand, one hundred forty-two".

Divisors: 1 2 3 6 7 9 14 18 21 23 42 46 49 63 69 98 126 138 147 161 207 294 322 414 441 483 882 966 997 1127 1449 1994 2254 2898 2991 3381 5982 6762 6979 8973 10143 13958 17946 20286 20937 22931 41874 45862 48853 62811 68793 97706 125622 137586 146559 160517 206379 293118 321034 412758 439677 481551 879354 963102 1123619 1444653 2247238 2889306 3370857 6741714 10112571 20225142