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125220222 = 23319312127
BaseRepresentation
bin1110111011010…
…11010101111110
322201121211212000
413131223111332
5224024021342
620231523130
73050232351
oct735532576
9281554760
10125220222
1164757896
1235b294a6
131cc3400a
14128b8298
15aed744c
hex776b57e

125220222 has 96 divisors (see below), whose sum is σ = 305049600. Its totient is φ = 37966320.

The previous prime is 125220197. The next prime is 125220229. The reversal of 125220222 is 222022521.

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

It is a junction number, because it is equal to n+sod(n) for n = 125220195 and 125220204.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125220229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 985923 + ... + 986049.

It is an arithmetic number, because the mean of its divisors is an integer number (3177600).

Almost surely, 2125220222 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125220222, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152524800).

125220222 is an abundant number, since it is smaller than the sum of its proper divisors (179829378).

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

125220222 is a wasteful number, since it uses less digits than its factorization.

125220222 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 219 (or 182 counting only the distinct ones).

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

The square root of 125220222 is about 11190.1841807899. The cubic root of 125220222 is about 500.2934570655.

Adding to 125220222 its reverse (222022521), we get a palindrome (347242743).

The spelling of 125220222 in words is "one hundred twenty-five million, two hundred twenty thousand, two hundred twenty-two".

Divisors: 1 2 3 6 9 18 19 27 31 38 54 57 62 93 114 127 171 186 254 279 342 381 513 558 589 762 837 961 1026 1143 1178 1674 1767 1922 2286 2413 2883 3429 3534 3937 4826 5301 5766 6858 7239 7874 8649 10602 11811 14478 15903 17298 18259 21717 23622 25947 31806 35433 36518 43434 51894 54777 65151 70866 74803 106299 109554 122047 130302 149606 164331 212598 224409 244094 328662 366141 448818 492993 673227 732282 985986 1098423 1346454 2019681 2196846 2318893 3295269 4039362 4637786 6590538 6956679 13913358 20870037 41740074 62610111 125220222