Search a number
-
+
225954936 = 23324176543
BaseRepresentation
bin11010111011111…
…00110001111000
3120202011200220100
431131330301320
5430321024221
634230555400
75412404514
oct1535746170
9522150810
10225954936
11106600319
1263808b60
1337a7405c
142201b144
1514c84926
hexd77cc78

225954936 has 48 divisors (see below), whose sum is σ = 626895360. Its totient is φ = 73480320.

The previous prime is 225954917. The next prime is 225954961. The reversal of 225954936 is 639459522.

225954936 is a `hidden beast` number, since 22 + 59 + 549 + 36 = 666.

It is a super-3 number, since 3×2259549363 (a number of 26 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 225954891 and 225954900.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 35320 + ... + 41223.

It is an arithmetic number, because the mean of its divisors is an integer number (13060320).

Almost surely, 2225954936 is an apocalyptic number.

It is an amenable number.

225954936 is an abundant number, since it is smaller than the sum of its proper divisors (400940424).

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

225954936 is a wasteful number, since it uses less digits than its factorization.

225954936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76596 (or 76589 counting only the distinct ones).

The product of its digits is 583200, while the sum is 45.

The square root of 225954936 is about 15031.7974973055. The cubic root of 225954936 is about 609.0794463884.

The spelling of 225954936 in words is "two hundred twenty-five million, nine hundred fifty-four thousand, nine hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 984 1476 2952 76543 153086 229629 306172 459258 612344 688887 918516 1377774 1837032 2755548 3138263 5511096 6276526 9414789 12553052 18829578 25106104 28244367 37659156 56488734 75318312 112977468 225954936