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225851094 = 23273157233
BaseRepresentation
bin11010111011000…
…11011011010110
3120201222102110100
431131203123112
5430304213334
634224434530
75411463000
oct1535433326
9521872410
10225851094
1110653a2a7
1263778a46
1337a38a01
1421dd1370
1514c63c99
hexd7636d6

225851094 has 96 divisors (see below), whose sum is σ = 576763200. Its totient is φ = 63842688.

The previous prime is 225851077. The next prime is 225851107. The reversal of 225851094 is 490158522.

225851094 is a `hidden beast` number, since 2 + 2 + 58 + 510 + 94 = 666.

225851094 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 969202 + ... + 969434.

It is an arithmetic number, because the mean of its divisors is an integer number (6007950).

Almost surely, 2225851094 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 225851094, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (288381600).

225851094 is an abundant number, since it is smaller than the sum of its proper divisors (350912106).

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

225851094 is a wasteful number, since it uses less digits than its factorization.

225851094 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419 (or 402 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 225851094 is about 15028.3430224360. The cubic root of 225851094 is about 608.9861273098.

The spelling of 225851094 in words is "two hundred twenty-five million, eight hundred fifty-one thousand, ninety-four".

Divisors: 1 2 3 6 7 9 14 18 21 42 49 63 98 126 147 157 233 294 314 343 441 466 471 686 699 882 942 1029 1099 1398 1413 1631 2058 2097 2198 2826 3087 3262 3297 4194 4893 6174 6594 7693 9786 9891 11417 14679 15386 19782 22834 23079 29358 34251 36581 46158 53851 68502 69237 73162 79919 102753 107702 109743 138474 159838 161553 205506 219486 239757 256067 323106 329229 479514 484659 512134 658458 719271 768201 969318 1438542 1536402 1792469 2304603 3584938 4609206 5377407 10754814 12547283 16132221 25094566 32264442 37641849 75283698 112925547 225851094