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225835806 = 23723171349
BaseRepresentation
bin11010111010111…
…11101100011110
3120201221122111010
431131133230132
5430303221211
634224240050
75411400300
oct1535375436
9521848433
10225835806
11106529869
1263770026
1337a31a71
1421dc9970
1514c5e4a6
hexd75fb1e

225835806 has 96 divisors (see below), whose sum is σ = 551577600. Its totient is φ = 61387200.

The previous prime is 225835801. The next prime is 225835807. The reversal of 225835806 is 608538522.

It is a super-2 number, since 2×2258358062 = 102003622543339272, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225835801) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 646920 + ... + 647268.

It is an arithmetic number, because the mean of its divisors is an integer number (5745600).

Almost surely, 2225835806 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225835806, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275788800).

225835806 is an abundant number, since it is smaller than the sum of its proper divisors (325741794).

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

225835806 is a wasteful number, since it uses less digits than its factorization.

225835806 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 470 (or 463 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 39.

The square root of 225835806 is about 15027.8343749191. The cubic root of 225835806 is about 608.9723861175.

The spelling of 225835806 in words is "two hundred twenty-five million, eight hundred thirty-five thousand, eight hundred six".

Divisors: 1 2 3 6 7 14 21 31 42 49 62 71 93 98 142 147 186 213 217 294 349 426 434 497 651 698 994 1047 1302 1491 1519 2094 2201 2443 2982 3038 3479 4402 4557 4886 6603 6958 7329 9114 10437 10819 13206 14658 15407 17101 20874 21638 24779 30814 32457 34202 46221 49558 51303 64914 74337 75733 92442 102606 107849 148674 151466 173453 215698 227199 323547 346906 454398 520359 530131 647094 768149 1040718 1060262 1214171 1536298 1590393 2304447 2428342 3180786 3642513 4608894 5377043 7285026 10754086 16131129 32262258 37639301 75278602 112917903 225835806