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2285664 = 25329821
BaseRepresentation
bin1000101110000001100000
311022010100020
420232001200
51041120124
6120553440
725266513
oct10560140
94263306
102285664
111321287
12922880
13620484
14436d7a
15302379
hex22e060

2285664 has 48 divisors (see below), whose sum is σ = 6214320. Its totient is φ = 734720.

The previous prime is 2285659. The next prime is 2285669. The reversal of 2285664 is 4665822.

It is an interprime number because it is at equal distance from previous prime (2285659) and next prime (2285669).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2285669) 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 7 ways as a sum of consecutive naturals, for example, 2374 + ... + 3194.

It is an arithmetic number, because the mean of its divisors is an integer number (129465).

22285664 is an apocalyptic number.

2285664 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 2285664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107160).

2285664 is an abundant number, since it is smaller than the sum of its proper divisors (3928656).

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

2285664 is a wasteful number, since it uses less digits than its factorization.

2285664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 863 (or 855 counting only the distinct ones).

The product of its digits is 23040, while the sum is 33.

The square root of 2285664 is about 1511.8412615086. The cubic root of 2285664 is about 131.7257851984.

The spelling of 2285664 in words is "two million, two hundred eighty-five thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 12 16 24 29 32 48 58 87 96 116 174 232 348 464 696 821 928 1392 1642 2463 2784 3284 4926 6568 9852 13136 19704 23809 26272 39408 47618 71427 78816 95236 142854 190472 285708 380944 571416 761888 1142832 2285664