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233005021 = 312376553
BaseRepresentation
bin11011110001101…
…01111111011101
3121020102212210121
431320311333131
5434122130041
635042034541
75526336634
oct1570657735
9536385717
10233005021
1110a586137
1266048a51
1339371cc2
1422d3451b
15156c87d1
hexde35fdd

233005021 has 12 divisors (see below), whose sum is σ = 247308636. Its totient is φ = 219360960.

The previous prime is 233005007. The next prime is 233005033. The reversal of 233005021 is 120500332.

It can be written as a sum of positive squares in 2 ways, for example, as 149940025 + 83064996 = 12245^2 + 9114^2 .

It is not a de Polignac number, because 233005021 - 221 = 230907869 is a prime.

It is a super-2 number, since 2×2330050212 = 108582679622420882, which contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 233004986 and 233005004.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (233005061) 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, 32281 + ... + 38833.

It is an arithmetic number, because the mean of its divisors is an integer number (20609053).

Almost surely, 2233005021 is an apocalyptic number.

It is an amenable number.

233005021 is a deficient number, since it is larger than the sum of its proper divisors (14303615).

233005021 is an equidigital number, since it uses as much as digits as its factorization.

233005021 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6652 (or 6621 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 16.

The square root of 233005021 is about 15264.5019899111. The cubic root of 233005021 is about 615.3493694305.

Adding to 233005021 its reverse (120500332), we get a palindrome (353505353).

The spelling of 233005021 in words is "two hundred thirty-three million, five thousand, twenty-one".

Divisors: 1 31 37 961 1147 6553 35557 203143 242461 6297433 7516291 233005021