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2245284 = 2232471327
BaseRepresentation
bin1000100100001010100100
311020001221200
420210022210
51033322114
6120042500
725041006
oct10441244
94201850
102245284
1112a3a08
12903430
13607c92
14426376
152e5409
hex2242a4

2245284 has 36 divisors (see below), whose sum is σ = 5800704. Its totient is φ = 731952.

The previous prime is 2245277. The next prime is 2245289. The reversal of 2245284 is 4825422.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245289) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1029 + ... + 2355.

22245284 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245284, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2900352).

2245284 is an abundant number, since it is smaller than the sum of its proper divisors (3555420).

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

2245284 is a wasteful number, since it uses less digits than its factorization.

2245284 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1379 counting only the distinct ones).

The product of its digits is 5120, while the sum is 27.

The square root of 2245284 is about 1498.4271754076. The cubic root of 2245284 is about 130.9454544394.

The spelling of 2245284 in words is "two million, two hundred forty-five thousand, two hundred eighty-four".

Divisors: 1 2 3 4 6 9 12 18 36 47 94 141 188 282 423 564 846 1327 1692 2654 3981 5308 7962 11943 15924 23886 47772 62369 124738 187107 249476 374214 561321 748428 1122642 2245284