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2242404 = 2236769
BaseRepresentation
bin1000100011011101100100
311012221000000
420203131210
51033224104
6120021300
725026423
oct10433544
94187000
102242404
1112a182a
12901830
13606888
144252ba
152e4639
hex223764

2242404 has 42 divisors (see below), whose sum is σ = 5891270. Its totient is φ = 746496.

The previous prime is 2242381. The next prime is 2242433. The reversal of 2242404 is 4042422.

2242404 is digitally balanced in base 5, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1822500 + 419904 = 1350^2 + 648^2 .

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 2532 + ... + 3300.

22242404 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 2242404, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2945635).

2242404 is an abundant number, since it is smaller than the sum of its proper divisors (3648866).

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

2242404 is an equidigital number, since it uses as much as digits as its factorization.

2242404 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 791 (or 774 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 18.

The square root of 2242404 is about 1497.4658593771. The cubic root of 2242404 is about 130.8894430740.

Adding to 2242404 its sum of digits (18), we get a palindrome (2242422).

Adding to 2242404 its reverse (4042422), we get a palindrome (6284826).

It can be divided in two parts, 224 and 2404, that added together give a triangular number (2628 = T72).

The spelling of 2242404 in words is "two million, two hundred forty-two thousand, four hundred four".

Divisors: 1 2 3 4 6 9 12 18 27 36 54 81 108 162 243 324 486 729 769 972 1458 1538 2307 2916 3076 4614 6921 9228 13842 20763 27684 41526 62289 83052 124578 186867 249156 373734 560601 747468 1121202 2242404