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2242296 = 233371483
BaseRepresentation
bin1000100011011011111000
311012220212000
420203123320
51033223141
6120021000
725026210
oct10433370
94186760
102242296
1112a1741
12901760
13606804
14425240
152e45b6
hex2236f8

2242296 has 64 divisors (see below), whose sum is σ = 7123200. Its totient is φ = 640224.

The previous prime is 2242291. The next prime is 2242307. The reversal of 2242296 is 6922422.

2242296 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242291) 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, 771 + ... + 2253.

It is an arithmetic number, because the mean of its divisors is an integer number (111300).

22242296 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3561600).

2242296 is an abundant number, since it is smaller than the sum of its proper divisors (4880904).

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

2242296 is a wasteful number, since it uses less digits than its factorization.

2242296 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1505 (or 1495 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 2242296 is about 1497.4297980206. The cubic root of 2242296 is about 130.8873417151.

It can be divided in two parts, 22422 and 96, that multiplied together give a palindrome (2152512).

The spelling of 2242296 in words is "two million, two hundred forty-two thousand, two hundred ninety-six".

Divisors: 1 2 3 4 6 7 8 9 12 14 18 21 24 27 28 36 42 54 56 63 72 84 108 126 168 189 216 252 378 504 756 1483 1512 2966 4449 5932 8898 10381 11864 13347 17796 20762 26694 31143 35592 40041 41524 53388 62286 80082 83048 93429 106776 124572 160164 186858 249144 280287 320328 373716 560574 747432 1121148 2242296