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2242782 = 233411013
BaseRepresentation
bin1000100011100011011110
311012221112000
420203203132
51033232112
6120023130
725030503
oct10434336
94187460
102242782
1112a2043
12901aa6
13606ab9
144254aa
152e47dc
hex2238de

2242782 has 32 divisors (see below), whose sum is σ = 5110560. Its totient is φ = 728640.

The previous prime is 2242781. The next prime is 2242783. The reversal of 2242782 is 2872422.

2242782 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (2242781) and next prime (2242783).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a plaindrome in base 16.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242781) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 1708 + ... + 2720.

It is an arithmetic number, because the mean of its divisors is an integer number (159705).

22242782 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2555280).

2242782 is an abundant number, since it is smaller than the sum of its proper divisors (2867778).

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

2242782 is a wasteful number, since it uses less digits than its factorization.

2242782 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1065 (or 1059 counting only the distinct ones).

The product of its digits is 3584, while the sum is 27.

The square root of 2242782 is about 1497.5920672867. The cubic root of 2242782 is about 130.8967972988.

The spelling of 2242782 in words is "two million, two hundred forty-two thousand, seven hundred eighty-two".

Divisors: 1 2 3 6 9 18 27 41 54 82 123 246 369 738 1013 1107 2026 2214 3039 6078 9117 18234 27351 41533 54702 83066 124599 249198 373797 747594 1121391 2242782