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2233984 = 2731563
BaseRepresentation
bin1000100001011010000000
311012111110011
420201122000
51032441414
6115514304
724663034
oct10413200
94174404
102233984
111296475
128b8994
13602aac
144221c4
152e1dc4
hex221680

2233984 has 32 divisors (see below), whose sum is σ = 4602240. Its totient is φ = 1079040.

The previous prime is 2233969. The next prime is 2233993. The reversal of 2233984 is 4893322.

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

It is a Harshad number since it is a multiple of its sum of digits (31).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3687 + ... + 4249.

It is an arithmetic number, because the mean of its divisors is an integer number (143820).

22233984 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 2233984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2301120).

2233984 is an abundant number, since it is smaller than the sum of its proper divisors (2368256).

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

2233984 is an equidigital number, since it uses as much as digits as its factorization.

2233984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 608 (or 596 counting only the distinct ones).

The product of its digits is 10368, while the sum is 31.

The square root of 2233984 is about 1494.6517989151. The cubic root of 2233984 is about 130.7254120599.

The spelling of 2233984 in words is "two million, two hundred thirty-three thousand, nine hundred eighty-four".

Divisors: 1 2 4 8 16 31 32 62 64 124 128 248 496 563 992 1126 1984 2252 3968 4504 9008 17453 18016 34906 36032 69812 72064 139624 279248 558496 1116992 2233984