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225545562 = 2321117371811
BaseRepresentation
bin11010111000110…
…00110101011010
3120201101220100100
431130120311122
5430214424222
634214120230
75406051144
oct1534306532
9521356310
10225545562
111063507a0
1263650076
133795c918
1421d51c94
1514c034ac
hexd718d5a

225545562 has 96 divisors (see below), whose sum is σ = 580042944. Its totient is φ = 62553600.

The previous prime is 225545533. The next prime is 225545569. The reversal of 225545562 is 265545522.

225545562 is a `hidden beast` number, since 2 + 2 + 55 + 45 + 562 = 666.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

It is not an unprimeable number, because it can be changed into a prime (225545569) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 123637 + ... + 125447.

It is an arithmetic number, because the mean of its divisors is an integer number (6042114).

Almost surely, 2225545562 is an apocalyptic number.

225545562 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 225545562, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (290021472).

225545562 is an abundant number, since it is smaller than the sum of its proper divisors (354497382).

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

225545562 is a wasteful number, since it uses less digits than its factorization.

225545562 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1884 (or 1881 counting only the distinct ones).

The product of its digits is 120000, while the sum is 36.

The square root of 225545562 is about 15018.1743897186. The cubic root of 225545562 is about 608.7113906648.

The spelling of 225545562 in words is "two hundred twenty-five million, five hundred forty-five thousand, five hundred sixty-two".

Divisors: 1 2 3 6 9 11 17 18 22 33 34 37 51 66 74 99 102 111 153 187 198 222 306 333 374 407 561 629 666 814 1122 1221 1258 1683 1811 1887 2442 3366 3622 3663 3774 5433 5661 6919 7326 10866 11322 13838 16299 19921 20757 30787 32598 39842 41514 59763 61574 62271 67007 92361 119526 124542 134014 179289 184722 201021 277083 338657 358578 402042 554166 603063 677314 737077 1015971 1139119 1206126 1474154 2031942 2211231 2278238 3047913 3417357 4422462 6095826 6633693 6834714 10252071 12530309 13267386 20504142 25060618 37590927 75181854 112772781 225545562