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225648423 = 3471131323
BaseRepresentation
bin11010111001100…
…01111100100111
3120201121010110000
431130301330213
5430231222143
634220232343
75406660060
oct1534617447
9521533400
10225648423
11106411000
126369b6b3
13379976a0
1421d7b567
1514c23bd3
hexd731f27

225648423 has 160 divisors (see below), whose sum is σ = 476163072. Its totient is φ = 103498560.

The previous prime is 225648419. The next prime is 225648433. The reversal of 225648423 is 324846522.

225648423 is a `hidden beast` number, since 2 + 2 + 5 + 648 + 4 + 2 + 3 = 666.

It is not a de Polignac number, because 225648423 - 22 = 225648419 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225648413) 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 159 ways as a sum of consecutive naturals, for example, 9810790 + ... + 9810812.

Almost surely, 2225648423 is an apocalyptic number.

225648423 is a gapful number since it is divisible by the number (23) formed by its first and last digit.

225648423 is an abundant number, since it is smaller than the sum of its proper divisors (250514649).

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

225648423 is a wasteful number, since it uses less digits than its factorization.

225648423 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 57 counting only the distinct ones).

The product of its digits is 92160, while the sum is 36.

The square root of 225648423 is about 15021.5985500878. The cubic root of 225648423 is about 608.8039117293.

The spelling of 225648423 in words is "two hundred twenty-five million, six hundred forty-eight thousand, four hundred twenty-three".

Divisors: 1 3 7 9 11 13 21 23 27 33 39 63 69 77 81 91 99 117 121 143 161 189 207 231 253 273 297 299 351 363 429 483 567 621 693 759 819 847 891 897 1001 1053 1089 1287 1331 1449 1573 1771 1863 2079 2093 2277 2457 2541 2691 2783 3003 3267 3289 3861 3993 4347 4719 5313 6237 6279 6831 7371 7623 8073 8349 9009 9317 9801 9867 11011 11583 11979 13041 14157 15939 17303 18837 19481 20493 22869 23023 24219 25047 27027 27951 29601 30613 33033 35937 36179 42471 47817 51909 56511 58443 68607 69069 75141 81081 83853 88803 91839 99099 107811 108537 121121 127413 143451 155727 169533 175329 207207 214291 225423 251559 253253 266409 275517 297297 325611 363363 397969 467181 525987 621621 642873 754677 759759 826551 891891 976833 1090089 1193907 1401543 1577961 1864863 1928619 2279277 2479653 2785783 2930499 3270267 3581721 5785857 6837831 8357349 9810801 10745163 17357571 20513493 25072047 32235489 75216141 225648423