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2283864 = 2331141211
BaseRepresentation
bin1000101101100101011000
311022000212120
420231211120
51041040424
6120541240
725261332
oct10554530
94260776
102283864
11131a9a0
12921820
1361c6cb
14436452
15301a79
hex22d958

2283864 has 64 divisors (see below), whose sum is σ = 6410880. Its totient is φ = 672000.

The previous prime is 2283851. The next prime is 2283881. The reversal of 2283864 is 4683822.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 10719 + ... + 10929.

It is an arithmetic number, because the mean of its divisors is an integer number (100170).

22283864 is an apocalyptic number.

2283864 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 2283864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3205440).

2283864 is an abundant number, since it is smaller than the sum of its proper divisors (4127016).

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

2283864 is a wasteful number, since it uses less digits than its factorization.

2283864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 272 (or 268 counting only the distinct ones).

The product of its digits is 18432, while the sum is 33.

The square root of 2283864 is about 1511.2458436667. The cubic root of 2283864 is about 131.6911973380.

The spelling of 2283864 in words is "two million, two hundred eighty-three thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 11 12 22 24 33 41 44 66 82 88 123 132 164 211 246 264 328 422 451 492 633 844 902 984 1266 1353 1688 1804 2321 2532 2706 3608 4642 5064 5412 6963 8651 9284 10824 13926 17302 18568 25953 27852 34604 51906 55704 69208 95161 103812 190322 207624 285483 380644 570966 761288 1141932 2283864