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2233824 = 25323269
BaseRepresentation
bin1000100001010111100000
311012111020020
420201113200
51032440244
6115513440
724662415
oct10412740
94174206
102233824
11129633a
128b8880
136029b8
1442210c
152e1d19
hex2215e0

2233824 has 24 divisors (see below), whose sum is σ = 5864040. Its totient is φ = 744576.

The previous prime is 2233793. The next prime is 2233843. The reversal of 2233824 is 4283322.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

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

It is a junction number, because it is equal to n+sod(n) for n = 2233794 and 2233803.

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, 11539 + ... + 11730.

It is an arithmetic number, because the mean of its divisors is an integer number (244335).

22233824 is an apocalyptic number.

2233824 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2233824 is an abundant number, since it is smaller than the sum of its proper divisors (3630216).

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

2233824 is a wasteful number, since it uses less digits than its factorization.

2233824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23282 (or 23274 counting only the distinct ones).

The product of its digits is 2304, while the sum is 24.

The square root of 2233824 is about 1494.5982737846. The cubic root of 2233824 is about 130.7222910937.

The spelling of 2233824 in words is "two million, two hundred thirty-three thousand, eight hundred twenty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 23269 46538 69807 93076 139614 186152 279228 372304 558456 744608 1116912 2233824