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2232864 = 25327753
BaseRepresentation
bin1000100001001000100000
311012102220200
420201020200
51032422424
6115505200
724656544
oct10411040
94172820
102232864
111295647
128b8200
1360242a
14421a24
152e18c9
hex221220

2232864 has 36 divisors (see below), whose sum is σ = 6350526. Its totient is φ = 744192.

The previous prime is 2232859. The next prime is 2232869. The reversal of 2232864 is 4682322.

It is an interprime number because it is at equal distance from previous prime (2232859) and next prime (2232869).

It can be written as a sum of positive squares in only one way, i.e., 1192464 + 1040400 = 1092^2 + 1020^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a super-3 number, since 3×22328643 = 33397047164970565632, which contains 333 as substring.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (2232869) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 3589 + ... + 4164.

22232864 is an apocalyptic number.

2232864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2232864 is an abundant number, since it is smaller than the sum of its proper divisors (4117662).

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

2232864 is a wasteful number, since it uses less digits than its factorization.

2232864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7769 (or 7758 counting only the distinct ones).

The product of its digits is 4608, while the sum is 27.

The square root of 2232864 is about 1494.2770827393. The cubic root of 2232864 is about 130.7035621666.

The spelling of 2232864 in words is "two million, two hundred thirty-two thousand, eight hundred sixty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 7753 15506 23259 31012 46518 62024 69777 93036 124048 139554 186072 248096 279108 372144 558216 744288 1116432 2232864