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225903426 = 237219371093
BaseRepresentation
bin11010111011100…
…00001101000010
3120202002002020120
431131300031002
5430312402201
634225521110
75412101400
oct1535601502
9522062216
10225903426
11106575651
12637a3196
1337a56788
1422006470
1514c74536
hexd770342

225903426 has 96 divisors (see below), whose sum is σ = 568704960. Its totient is φ = 59439744.

The previous prime is 225903413. The next prime is 225903427. The reversal of 225903426 is 624309522.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225903427) 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 47 ways as a sum of consecutive naturals, for example, 206136 + ... + 207228.

It is an arithmetic number, because the mean of its divisors is an integer number (5924010).

Almost surely, 2225903426 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225903426, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284352480).

225903426 is an abundant number, since it is smaller than the sum of its proper divisors (342801534).

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

225903426 is a wasteful number, since it uses less digits than its factorization.

225903426 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1168 (or 1161 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 33.

The square root of 225903426 is about 15030.0840317012. The cubic root of 225903426 is about 609.0331597746.

The spelling of 225903426 in words is "two hundred twenty-five million, nine hundred three thousand, four hundred twenty-six".

Divisors: 1 2 3 6 7 14 19 21 37 38 42 49 57 74 98 111 114 133 147 222 259 266 294 399 518 703 777 798 931 1093 1406 1554 1813 1862 2109 2186 2793 3279 3626 4218 4921 5439 5586 6558 7651 9842 10878 14763 15302 20767 22953 29526 34447 40441 41534 45906 53557 62301 68894 80882 103341 107114 121323 124602 145369 160671 206682 242646 283087 290738 321342 436107 566174 768379 849261 872214 1017583 1536758 1698522 1981609 2035166 2305137 3052749 3963218 4610274 5378653 5944827 6105498 10757306 11889654 16135959 32271918 37650571 75301142 112951713 225903426