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225358392 = 233717194153
BaseRepresentation
bin11010110111010…
…11001000111000
3120201001101121010
431123223020320
5430142432032
634210113520
75404341360
oct1533531070
9521041533
10225358392
11106233106
126357b8a0
13378c567c
1421d039a0
1514bb7ccc
hexd6eb238

225358392 has 128 divisors (see below), whose sum is σ = 717811200. Its totient is φ = 57397248.

The previous prime is 225358387. The next prime is 225358433. The reversal of 225358392 is 293853522.

It is a self number, because there is not a number n which added to its sum of digits gives 225358392.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52188 + ... + 56340.

It is an arithmetic number, because the mean of its divisors is an integer number (5607900).

Almost surely, 2225358392 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 225358392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (358905600).

225358392 is an abundant number, since it is smaller than the sum of its proper divisors (492452808).

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

225358392 is a wasteful number, since it uses less digits than its factorization.

225358392 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4205 (or 4201 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 225358392 is about 15011.9416465692. The cubic root of 225358392 is about 608.5429634369.

The spelling of 225358392 in words is "two hundred twenty-five million, three hundred fifty-eight thousand, three hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 17 19 21 24 28 34 38 42 51 56 57 68 76 84 102 114 119 133 136 152 168 204 228 238 266 323 357 399 408 456 476 532 646 714 798 952 969 1064 1292 1428 1596 1938 2261 2584 2856 3192 3876 4153 4522 6783 7752 8306 9044 12459 13566 16612 18088 24918 27132 29071 33224 49836 54264 58142 70601 78907 87213 99672 116284 141202 157814 174426 211803 232568 236721 282404 315628 348852 423606 473442 494207 552349 564808 631256 697704 847212 946884 988414 1104698 1341419 1482621 1657047 1694424 1893768 1976828 2209396 2682838 2965242 3314094 3953656 4024257 4418792 5365676 5930484 6628188 8048514 9389933 10731352 11860968 13256376 16097028 18779866 28169799 32194056 37559732 56339598 75119464 112679196 225358392