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2468224 = 27111753
BaseRepresentation
bin1001011010100110000000
311122101202201
421122212000
51112440344
6124522544
726656663
oct11324600
94571681
102468224
111436460
129b0454
136855b5
144836da
1533b4d4
hex25a980

2468224 has 32 divisors (see below), whose sum is σ = 5367240. Its totient is φ = 1121280.

The previous prime is 2468209. The next prime is 2468227. The reversal of 2468224 is 4228642.

It is a tau number, because it is divible by the number of its divisors (32).

It is a d-powerful number, because it can be written as 210 + 43 + 68 + 82 + 218 + 219 + 45 .

It is a junction number, because it is equal to n+sod(n) for n = 2468192 and 2468201.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2468227) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 532 + ... + 2284.

22468224 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 2468224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2683620).

2468224 is an abundant number, since it is smaller than the sum of its proper divisors (2899016).

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

2468224 is a wasteful number, since it uses less digits than its factorization.

2468224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1778 (or 1766 counting only the distinct ones).

The product of its digits is 6144, while the sum is 28.

The square root of 2468224 is about 1571.0582420776. The cubic root of 2468224 is about 135.1434049973.

The spelling of 2468224 in words is "two million, four hundred sixty-eight thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 352 704 1408 1753 3506 7012 14024 19283 28048 38566 56096 77132 112192 154264 224384 308528 617056 1234112 2468224