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225304092 = 223413149359
BaseRepresentation
bin11010110110111…
…01111000011100
3120200221122010000
431123131320130
5430134212332
634205014300
75404024146
oct1533357034
9520848100
10225304092
111061a6332
1263554390
13378a6a40
1421ccbc96
1514ba6b7c
hexd6dde1c

225304092 has 120 divisors (see below), whose sum is σ = 640332000. Its totient is φ = 68667264.

The previous prime is 225304091. The next prime is 225304099. The reversal of 225304092 is 290403522.

225304092 is a `hidden beast` number, since 2 + 2 + 530 + 40 + 92 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225304091) 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 39 ways as a sum of consecutive naturals, for example, 627409 + ... + 627767.

It is an arithmetic number, because the mean of its divisors is an integer number (5336100).

Almost surely, 2225304092 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 225304092, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (320166000).

225304092 is an abundant number, since it is smaller than the sum of its proper divisors (415027908).

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

225304092 is a wasteful number, since it uses less digits than its factorization.

225304092 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 537 (or 526 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

The square root of 225304092 is about 15010.1329774256. The cubic root of 225304092 is about 608.4940834625.

The spelling of 225304092 in words is "two hundred twenty-five million, three hundred four thousand, ninety-two".

Divisors: 1 2 3 4 6 9 12 13 18 26 27 36 39 52 54 78 81 108 117 149 156 162 234 298 324 351 359 447 468 596 702 718 894 1053 1077 1341 1404 1436 1788 1937 2106 2154 2682 3231 3874 4023 4212 4308 4667 5364 5811 6462 7748 8046 9334 9693 11622 12069 12924 14001 16092 17433 18668 19386 23244 24138 28002 29079 34866 38772 42003 48276 52299 53491 56004 58158 69732 84006 104598 106982 116316 126009 156897 160473 168012 209196 213964 252018 313794 320946 378027 481419 504036 627588 641892 695383 756054 962838 1390766 1444257 1512108 1925676 2086149 2781532 2888514 4172298 4332771 5777028 6258447 8344596 8665542 12516894 17331084 18775341 25033788 37550682 56326023 75101364 112652046 225304092