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233022033 = 3297266921
BaseRepresentation
bin11011110001110…
…10001001010001
3121020110202010200
431320322021101
5434123201113
635042245413
75526440346
oct1570721121
9536422120
10233022033
1110a5979a2
1266056869
133937997a
1422d3a7cd
15156cd873
hexde3a251

233022033 has 12 divisors (see below), whose sum is σ = 340058628. Its totient is φ = 153745920.

The previous prime is 233022019. The next prime is 233022103. The reversal of 233022033 is 330220332.

233022033 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 2 ways, for example, as 41254929 + 191767104 = 6423^2 + 13848^2 .

It is not a de Polignac number, because 233022033 - 28 = 233021777 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 233021997 and 233022015.

It is not an unprimeable number, because it can be changed into a prime (233022733) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 132588 + ... + 134333.

It is an arithmetic number, because the mean of its divisors is an integer number (28338219).

Almost surely, 2233022033 is an apocalyptic number.

It is an amenable number.

233022033 is a deficient number, since it is larger than the sum of its proper divisors (107036595).

233022033 is a wasteful number, since it uses less digits than its factorization.

233022033 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 267024 (or 267021 counting only the distinct ones).

The product of its (nonzero) digits is 648, while the sum is 18.

The square root of 233022033 is about 15265.0592203240. The cubic root of 233022033 is about 615.3643448856.

Adding to 233022033 its reverse (330220332), we get a palindrome (563242365).

It can be divided in two parts, 2 and 33022033, that multiplied together give a palindrome (66044066).

The spelling of 233022033 in words is "two hundred thirty-three million, twenty-two thousand, thirty-three".

Divisors: 1 3 9 97 291 873 266921 800763 2402289 25891337 77674011 233022033