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225394218 = 2337343283
BaseRepresentation
bin11010110111100…
…11111000101010
3120201010012202000
431123303320222
5430200103333
634210551430
75404551000
oct1533637052
9521105660
10225394218
11106258015
1263598576
1337908a7a
1421d12a70
1514bc3713
hexd6f3e2a

225394218 has 128 divisors (see below), whose sum is σ = 599808000. Its totient is φ = 62678448.

The previous prime is 225394217. The next prime is 225394229. The reversal of 225394218 is 812493522.

It is a happy number.

225394218 is a `hidden beast` number, since 225 + 3 + 9 + 421 + 8 = 666.

It is not an unprimeable number, because it can be changed into a prime (225394217) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 796305 + ... + 796587.

It is an arithmetic number, because the mean of its divisors is an integer number (4686000).

Almost surely, 2225394218 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225394218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (299904000).

225394218 is an abundant number, since it is smaller than the sum of its proper divisors (374413782).

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

225394218 is a wasteful number, since it uses less digits than its factorization.

225394218 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 358 (or 338 counting only the distinct ones).

The product of its digits is 34560, while the sum is 36.

The square root of 225394218 is about 15013.1348491912. The cubic root of 225394218 is about 608.5752091187.

The spelling of 225394218 in words is "two hundred twenty-five million, three hundred ninety-four thousand, two hundred eighteen".

Divisors: 1 2 3 6 7 9 14 18 21 27 42 43 49 54 63 86 98 126 129 147 189 258 283 294 301 343 378 387 441 566 602 686 774 849 882 903 1029 1161 1323 1698 1806 1981 2058 2107 2322 2547 2646 2709 3087 3962 4214 5094 5418 5943 6174 6321 7641 8127 9261 11886 12169 12642 13867 14749 15282 16254 17829 18522 18963 24338 27734 29498 35658 36507 37926 41601 44247 53487 56889 73014 83202 85183 88494 97069 106974 109521 113778 124803 132741 170366 194138 219042 249606 255549 265482 291207 328563 374409 398223 511098 582414 596281 657126 748818 766647 796446 873621 1192562 1533294 1747242 1788843 2299941 2620863 3577686 4173967 4599882 5241726 5366529 8347934 10733058 12521901 16099587 25043802 32199174 37565703 75131406 112697109 225394218