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233023133 = 7472692633
BaseRepresentation
bin11011110001110…
…10011010011101
3121020110210122102
431320322122131
5434123220013
635042254445
75526443510
oct1570723235
9536423572
10233023133
1110a598802
1266057425
133937a315
1422d3ad77
15156cdd58
hexde3a69d

233023133 has 16 divisors (see below), whose sum is σ = 273093120. Its totient is φ = 194683776.

The previous prime is 233023123. The next prime is 233023157. The reversal of 233023133 is 331320332.

It is not a de Polignac number, because 233023133 - 24 = 233023117 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233023103) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 87185 + ... + 89817.

It is an arithmetic number, because the mean of its divisors is an integer number (17068320).

Almost surely, 2233023133 is an apocalyptic number.

It is an amenable number.

233023133 is a deficient number, since it is larger than the sum of its proper divisors (40069987).

233023133 is a wasteful number, since it uses less digits than its factorization.

233023133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2956.

The product of its (nonzero) digits is 972, while the sum is 20.

The square root of 233023133 is about 15265.0952502760. The cubic root of 233023133 is about 615.3653131770.

Adding to 233023133 its reverse (331320332), we get a palindrome (564343465).

The spelling of 233023133 in words is "two hundred thirty-three million, twenty-three thousand, one hundred thirty-three".

Divisors: 1 7 47 269 329 1883 2633 12643 18431 88501 123751 708277 866257 4957939 33289019 233023133