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268225452 = 223311225779
BaseRepresentation
bin11111111110011…
…00101110101100
3200200201021011000
433333030232230
51022131203302
642341000300
76434610255
oct1777145654
9620637130
10268225452
11128451830
12759b3090
13437541b1
14278a1b2c
151883431c
hexffccbac

268225452 has 48 divisors (see below), whose sum is σ = 758620800. Its totient is φ = 81280080.

The previous prime is 268225427. The next prime is 268225453. The reversal of 268225452 is 254522862.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (268225453) 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 15 ways as a sum of consecutive naturals, for example, 111702 + ... + 114077.

It is an arithmetic number, because the mean of its divisors is an integer number (15804600).

Almost surely, 2268225452 is an apocalyptic number.

268225452 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

268225452 is an abundant number, since it is smaller than the sum of its proper divisors (490395348).

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

268225452 is a wasteful number, since it uses less digits than its factorization.

268225452 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 225803 (or 225795 counting only the distinct ones).

The product of its digits is 76800, while the sum is 36.

The square root of 268225452 is about 16377.5899325878. The cubic root of 268225452 is about 644.9113128467.

The spelling of 268225452 in words is "two hundred sixty-eight million, two hundred twenty-five thousand, four hundred fifty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 225779 451558 677337 903116 1354674 2032011 2483569 2709348 4064022 4967138 6096033 7450707 8128044 9934276 12192066 14901414 22352121 24384132 29802828 44704242 67056363 89408484 134112726 268225452