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2285304 = 233761223
BaseRepresentation
bin1000101101111011111000
311022002211220
420231323320
51041112204
6120552040
725265460
oct10557370
94262756
102285304
111320a8a
12922620
13620268
14436ba0
153021d9
hex22def8

2285304 has 64 divisors (see below), whose sum is σ = 6666240. Its totient is φ = 639360.

The previous prime is 2285291. The next prime is 2285317. The reversal of 2285304 is 4035822.

It is an interprime number because it is at equal distance from previous prime (2285291) and next prime (2285317).

It is a super-2 number, since 2×22853042 = 10445228744832, which contains 22 as substring.

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 (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10137 + ... + 10359.

It is an arithmetic number, because the mean of its divisors is an integer number (104160).

22285304 is an apocalyptic number.

2285304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2285304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3333120).

2285304 is an abundant number, since it is smaller than the sum of its proper divisors (4380936).

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

2285304 is a wasteful number, since it uses less digits than its factorization.

2285304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 296 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 2285304 is about 1511.7221967015. The cubic root of 2285304 is about 131.7188690794.

The spelling of 2285304 in words is "two million, two hundred eighty-five thousand, three hundred four".

Divisors: 1 2 3 4 6 7 8 12 14 21 24 28 42 56 61 84 122 168 183 223 244 366 427 446 488 669 732 854 892 1281 1338 1464 1561 1708 1784 2562 2676 3122 3416 4683 5124 5352 6244 9366 10248 12488 13603 18732 27206 37464 40809 54412 81618 95221 108824 163236 190442 285663 326472 380884 571326 761768 1142652 2285304