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225836622 = 2321119173347
BaseRepresentation
bin11010111010111…
…11111001001110
3120201221200121100
431131133321032
5430303232442
634224243530
75411402544
oct1535377116
9521850540
10225836622
1110652a440
12637705a6
1337a3224b
1421dc9d94
1514c5e84c
hexd75fe4e

225836622 has 96 divisors (see below), whose sum is σ = 566766720. Its totient is φ = 64272960.

The previous prime is 225836621. The next prime is 225836623. The reversal of 225836622 is 226638522.

225836622 is a `hidden beast` number, since 2 + 25 + 8 + 3 + 6 + 622 = 666.

225836622 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (225836621) and next prime (225836623).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (225836621) 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, 650653 + ... + 650999.

It is an arithmetic number, because the mean of its divisors is an integer number (5903820).

Almost surely, 2225836622 is an apocalyptic number.

225836622 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 225836622, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283383360).

225836622 is an abundant number, since it is smaller than the sum of its proper divisors (340930098).

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

225836622 is a wasteful number, since it uses less digits than its factorization.

225836622 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558 (or 555 counting only the distinct ones).

The product of its digits is 69120, while the sum is 36.

The square root of 225836622 is about 15027.8615245151. The cubic root of 225836622 is about 608.9731195720.

The spelling of 225836622 in words is "two hundred twenty-five million, eight hundred thirty-six thousand, six hundred twenty-two".

Divisors: 1 2 3 6 9 11 18 19 22 33 38 57 66 99 114 171 173 198 209 342 346 347 418 519 627 694 1038 1041 1254 1557 1881 1903 2082 3114 3123 3287 3762 3806 3817 5709 6246 6574 6593 7634 9861 11418 11451 13186 17127 19722 19779 22902 29583 34254 34353 36157 39558 59166 59337 60031 68706 72314 72523 108471 118674 120062 145046 180093 216942 217569 325413 360186 435138 540279 650826 652707 660341 1080558 1140589 1305414 1320682 1981023 2281178 3421767 3962046 5943069 6843534 10265301 11886138 12546479 20530602 25092958 37639437 75278874 112918311 225836622