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225673344 = 2733135023
BaseRepresentation
bin11010111001110…
…00000010000000
3120201122101122000
431130320002000
5430233021334
634220544000
75410122531
oct1534700200
9521571560
10225673344
111064287a6
12636b2000
13379a5b30
1421d86688
1514c2b299
hexd738080

225673344 has 128 divisors (see below), whose sum is σ = 717427200. Its totient is φ = 69424128.

The previous prime is 225673339. The next prime is 225673361. The reversal of 225673344 is 443376522.

225673344 is a `hidden beast` number, since 22 + 567 + 33 + 44 = 666.

225673344 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

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

It is a junction number, because it is equal to n+sod(n) for n = 225673299 and 225673308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 42417 + ... + 47439.

It is an arithmetic number, because the mean of its divisors is an integer number (5604900).

Almost surely, 2225673344 is an apocalyptic number.

225673344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225673344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358713600).

225673344 is an abundant number, since it is smaller than the sum of its proper divisors (491753856).

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

225673344 is a wasteful number, since it uses less digits than its factorization.

225673344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5059 (or 5041 counting only the distinct ones).

The product of its digits is 120960, while the sum is 36.

The square root of 225673344 is about 15022.4280327782. The cubic root of 225673344 is about 608.8263233547.

The spelling of 225673344 in words is "two hundred twenty-five million, six hundred seventy-three thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 13 16 18 24 26 27 32 36 39 48 52 54 64 72 78 96 104 108 117 128 144 156 192 208 216 234 288 312 351 384 416 432 468 576 624 702 832 864 936 1152 1248 1404 1664 1728 1872 2496 2808 3456 3744 4992 5023 5616 7488 10046 11232 14976 15069 20092 22464 30138 40184 44928 45207 60276 65299 80368 90414 120552 130598 135621 160736 180828 195897 241104 261196 271242 321472 361656 391794 482208 522392 542484 587691 642944 723312 783588 964416 1044784 1084968 1175382 1446624 1567176 1763073 1928832 2089568 2169936 2350764 2893248 3134352 3526146 4179136 4339872 4701528 5786496 6268704 7052292 8358272 8679744 9403056 12537408 14104584 17359488 18806112 25074816 28209168 37612224 56418336 75224448 112836672 225673344