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2225133306 = 2321137303731
BaseRepresentation
bin1000010010100000…
…1101011011111010
312202001222111001200
42010220031123322
514024113231211
61004444155030
7106066215054
oct20450153372
95661874050
102225133306
11a42036650
12521238a76
13295cc1436
141717408d4
15d0533b56
hex84a0d6fa

2225133306 has 48 divisors (see below), whose sum is σ = 5401569888. Its totient is φ = 656056800.

The previous prime is 2225133289. The next prime is 2225133307. The reversal of 2225133306 is 6033315222.

2225133306 is a `hidden beast` number, since 2 + 225 + 133 + 306 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2225133306.

It is not an unprimeable number, because it can be changed into a prime (2225133307) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 144540 + ... + 159191.

It is an arithmetic number, because the mean of its divisors is an integer number (112532706).

Almost surely, 22225133306 is an apocalyptic number.

2225133306 is an abundant number, since it is smaller than the sum of its proper divisors (3176436582).

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

2225133306 is a wasteful number, since it uses less digits than its factorization.

2225133306 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 303787 (or 303784 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

The square root of 2225133306 is about 47171.3186798928. The cubic root of 2225133306 is about 1305.5254571333.

Adding to 2225133306 its reverse (6033315222), we get a palindrome (8258448528).

It can be divided in two parts, 2225 and 133306, that added together give a palindrome (135531).

The spelling of 2225133306 in words is "two billion, two hundred twenty-five million, one hundred thirty-three thousand, three hundred six".

Divisors: 1 2 3 6 9 11 18 22 33 37 66 74 99 111 198 222 333 407 666 814 1221 2442 3663 7326 303731 607462 911193 1822386 2733579 3341041 5467158 6682082 10023123 11238047 20046246 22476094 30069369 33714141 60138738 67428282 101142423 123618517 202284846 247237034 370855551 741711102 1112566653 2225133306