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2284512 = 25353449
BaseRepresentation
bin1000101101101111100000
311022001202120
420231233200
51041101022
6120544240
725263246
oct10555740
94261676
102284512
11132042a
12922080
1361caa9
14436796
15301d5c
hex22dbe0

2284512 has 48 divisors (see below), whose sum is σ = 6123600. Its totient is φ = 745472.

The previous prime is 2284501. The next prime is 2284537. The reversal of 2284512 is 2154822.

2284512 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4864 + ... + 5312.

It is an arithmetic number, because the mean of its divisors is an integer number (127575).

22284512 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 2284512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3061800).

2284512 is an abundant number, since it is smaller than the sum of its proper divisors (3839088).

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

2284512 is a wasteful number, since it uses less digits than its factorization.

2284512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 515 (or 507 counting only the distinct ones).

The product of its digits is 1280, while the sum is 24.

The square root of 2284512 is about 1511.4602211107. The cubic root of 2284512 is about 131.7036510606.

The spelling of 2284512 in words is "two million, two hundred eighty-four thousand, five hundred twelve".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 53 96 106 159 212 318 424 449 636 848 898 1272 1347 1696 1796 2544 2694 3592 5088 5388 7184 10776 14368 21552 23797 43104 47594 71391 95188 142782 190376 285564 380752 571128 761504 1142256 2284512