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125226306 = 232231312309
BaseRepresentation
bin1110111011011…
…00110101000010
322201122011012100
413131230311002
5224024220211
620232011230
73050256162
oct735546502
9281564170
10125226306
1164761417
1235b30b16
131cc36a0a
14128ba5a2
15aed9156
hex776cd42

125226306 has 48 divisors (see below), whose sum is σ = 285405120. Its totient is φ = 39605280.

The previous prime is 125226281. The next prime is 125226307. The reversal of 125226306 is 603622521.

125226306 is a `hidden beast` number, since 1 + 2 + 5 + 22 + 630 + 6 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 125226306.

It is not an unprimeable number, because it can be changed into a prime (125226307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 53080 + ... + 55388.

It is an arithmetic number, because the mean of its divisors is an integer number (5945940).

Almost surely, 2125226306 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125226306, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (142702560).

125226306 is an abundant number, since it is smaller than the sum of its proper divisors (160178814).

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

125226306 is a wasteful number, since it uses less digits than its factorization.

125226306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2471 (or 2468 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 125226306 is about 11190.4560228795. The cubic root of 125226306 is about 500.3015594206.

Adding to 125226306 its reverse (603622521), we get a palindrome (728848827).

The spelling of 125226306 in words is "one hundred twenty-five million, two hundred twenty-six thousand, three hundred six".

Divisors: 1 2 3 6 9 18 23 46 69 131 138 207 262 393 414 786 1179 2309 2358 3013 4618 6026 6927 9039 13854 18078 20781 27117 41562 53107 54234 106214 159321 302479 318642 477963 604958 907437 955926 1814874 2722311 5444622 6957017 13914034 20871051 41742102 62613153 125226306