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2283264 = 2832991
BaseRepresentation
bin1000101101011100000000
311022000001100
420231130000
51041031024
6120534400
725256514
oct10553400
94260040
102283264
11131a4a5
12921400
1361c359
14436144
153017c9
hex22d700

2283264 has 54 divisors (see below), whose sum is σ = 6589856. Its totient is φ = 760320.

The previous prime is 2283227. The next prime is 2283301. The reversal of 2283264 is 4623822.

It is an interprime number because it is at equal distance from previous prime (2283227) and next prime (2283301).

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

It is an Ulam number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1809 + ... + 2799.

22283264 is an apocalyptic number.

2283264 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 2283264, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3294928).

2283264 is an abundant number, since it is smaller than the sum of its proper divisors (4306592).

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

2283264 is an equidigital number, since it uses as much as digits as its factorization.

2283264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1013 (or 996 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2283264 is about 1511.0473189149. The cubic root of 2283264 is about 131.6796640127.

The spelling of 2283264 in words is "two million, two hundred eighty-three thousand, two hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 128 144 192 256 288 384 576 768 991 1152 1982 2304 2973 3964 5946 7928 8919 11892 15856 17838 23784 31712 35676 47568 63424 71352 95136 126848 142704 190272 253696 285408 380544 570816 761088 1141632 2283264