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225434988 = 2235593931
BaseRepresentation
bin11010110111111…
…01110101101100
3120201012021200000
431123331311230
5430202404423
634211504300
75405110602
oct1533756554
9521167600
10225434988
11106285709
12635b8090
13379214ac
1421d23872
1514bd0843
hexd6fdd6c

225434988 has 72 divisors (see below), whose sum is σ = 601124160. Its totient is φ = 73852560.

The previous prime is 225434987. The next prime is 225435013. The reversal of 225434988 is 889434522.

225434988 is a `hidden beast` number, since 22 + 543 + 4 + 9 + 88 = 666.

It is not an unprimeable number, because it can be changed into a prime (225434987) 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 23 ways as a sum of consecutive naturals, for example, 55383 + ... + 59313.

Almost surely, 2225434988 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225434988, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300562080).

225434988 is an abundant number, since it is smaller than the sum of its proper divisors (375689172).

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

225434988 is a wasteful number, since it uses less digits than its factorization.

225434988 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4009 (or 3995 counting only the distinct ones).

The product of its digits is 552960, while the sum is 45.

The square root of 225434988 is about 15014.4925988193. The cubic root of 225434988 is about 608.6119005589.

The spelling of 225434988 in words is "two hundred twenty-five million, four hundred thirty-four thousand, nine hundred eighty-eight".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 59 81 108 118 162 177 236 243 324 354 486 531 708 972 1062 1593 2124 3186 3931 4779 6372 7862 9558 11793 14337 15724 19116 23586 28674 35379 47172 57348 70758 106137 141516 212274 231929 318411 424548 463858 636822 695787 927716 955233 1273644 1391574 1910466 2087361 2783148 3820932 4174722 6262083 8349444 12524166 18786249 25048332 37572498 56358747 75144996 112717494 225434988