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22000125 = 353717229
BaseRepresentation
bin101001111101…
…1000111111101
31112101201111110
41103323013331
521113001000
62103312233
7354666210
oct123730775
945351443
1022000125
1111467024
12744b679
134733934
142cc9777
151de8850
hex14fb1fd

22000125 has 96 divisors (see below), whose sum is σ = 45976320. Its totient is φ = 9139200.

The previous prime is 22000109. The next prime is 22000127. The reversal of 22000125 is 52100022.

It is not a de Polignac number, because 22000125 - 24 = 22000109 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 22000125.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22000127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 758611 + ... + 758639.

It is an arithmetic number, because the mean of its divisors is an integer number (478920).

Almost surely, 222000125 is an apocalyptic number.

22000125 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

22000125 is an abundant number, since it is smaller than the sum of its proper divisors (23976195).

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

22000125 is a wasteful number, since it uses less digits than its factorization.

22000125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 61 counting only the distinct ones).

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

The square root of 22000125 is about 4690.4290848493. The cubic root of 22000125 is about 280.2044637538.

Adding to 22000125 its reverse (52100022), we get a palindrome (74100147).

The spelling of 22000125 in words is "twenty-two million, one hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 7 15 17 21 25 29 35 51 75 85 87 105 119 125 145 175 203 255 289 357 375 425 435 493 525 595 609 725 867 875 1015 1275 1445 1479 1785 2023 2125 2175 2465 2625 2975 3045 3451 3625 4335 5075 6069 6375 7225 7395 8381 8925 10115 10353 10875 12325 14875 15225 17255 21675 25143 25375 30345 36125 36975 41905 44625 50575 51765 58667 61625 76125 86275 108375 125715 151725 176001 184875 209525 252875 258825 293335 431375 628575 758625 880005 1047625 1294125 1466675 3142875 4400025 7333375 22000125