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2234664 = 233241757
BaseRepresentation
bin1000100001100100101000
311012112101100
420201210220
51033002124
6115521400
724665025
oct10414450
94175340
102234664
111296a33
128b9260
136031b3
1442254c
152e21c9
hex221928

2234664 has 48 divisors (see below), whose sum is σ = 6208020. Its totient is φ = 725760.

The previous prime is 2234629. The next prime is 2234671. The reversal of 2234664 is 4664322.

It can be written as a sum of positive squares in 2 ways, for example, as 2125764 + 108900 = 1458^2 + 330^2 .

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 2574 + ... + 3330.

22234664 is an apocalyptic number.

2234664 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 2234664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3104010).

2234664 is an abundant number, since it is smaller than the sum of its proper divisors (3973356).

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

2234664 is a wasteful number, since it uses less digits than its factorization.

2234664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 810 (or 803 counting only the distinct ones).

The product of its digits is 6912, while the sum is 27.

The square root of 2234664 is about 1494.8792593384. The cubic root of 2234664 is about 130.7386745038.

Adding to 2234664 its reverse (4664322), we get a palindrome (6898986).

The spelling of 2234664 in words is "two million, two hundred thirty-four thousand, six hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 36 41 72 82 123 164 246 328 369 492 738 757 984 1476 1514 2271 2952 3028 4542 6056 6813 9084 13626 18168 27252 31037 54504 62074 93111 124148 186222 248296 279333 372444 558666 744888 1117332 2234664