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2234004 = 2231747233
BaseRepresentation
bin1000100001011010010100
311012111110220
420201122110
51032442004
6115514340
724663063
oct10413224
94174426
102234004
111296493
128b89b0
13602ac6
144221da
152e1dd9
hex221694

2234004 has 48 divisors (see below), whose sum is σ = 5660928. Its totient is φ = 683008.

The previous prime is 2233999. The next prime is 2234009. The reversal of 2234004 is 4004322.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2233999) and next prime (2234009).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2234009) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9472 + ... + 9704.

It is an arithmetic number, because the mean of its divisors is an integer number (117936).

22234004 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 2234004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2830464).

2234004 is an abundant number, since it is smaller than the sum of its proper divisors (3426924).

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

2234004 is a wasteful number, since it uses less digits than its factorization.

2234004 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 302 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 15.

The square root of 2234004 is about 1494.6584894216. The cubic root of 2234004 is about 130.7258021702.

Adding to 2234004 its reverse (4004322), we get a palindrome (6238326).

The spelling of 2234004 in words is "two million, two hundred thirty-four thousand, four".

Divisors: 1 2 3 4 6 12 17 34 47 51 68 94 102 141 188 204 233 282 466 564 699 799 932 1398 1598 2397 2796 3196 3961 4794 7922 9588 10951 11883 15844 21902 23766 32853 43804 47532 65706 131412 186167 372334 558501 744668 1117002 2234004