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233048873 is a prime number
BaseRepresentation
bin11011110010000…
…00101100101001
3121020112002221202
431321000230221
5434130030443
635043013545
75526611531
oct1571005451
9536462852
10233048873
1110a606082
126606a2b5
1339388c55
1422d464c1
15156d67b8
hexde40b29

233048873 has 2 divisors, whose sum is σ = 233048874. Its totient is φ = 233048872.

The previous prime is 233048861. The next prime is 233048887. The reversal of 233048873 is 378840332.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128436889 + 104611984 = 11333^2 + 10228^2 .

It is a cyclic number.

It is not a de Polignac number, because 233048873 - 214 = 233032489 is a prime.

It is a super-4 number, since 4×2330488734 (a number of 35 digits) contains 4444 as substring.

It is not a weakly prime, because it can be changed into another prime (233048773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 116524436 + 116524437.

It is an arithmetic number, because the mean of its divisors is an integer number (116524437).

Almost surely, 2233048873 is an apocalyptic number.

It is an amenable number.

233048873 is a deficient number, since it is larger than the sum of its proper divisors (1).

233048873 is an equidigital number, since it uses as much as digits as its factorization.

233048873 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 96768, while the sum is 38.

The square root of 233048873 is about 15265.9383268766. The cubic root of 233048873 is about 615.3879703267.

The spelling of 233048873 in words is "two hundred thirty-three million, forty-eight thousand, eight hundred seventy-three".