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420042233 = 133191189
BaseRepresentation
bin11001000010010…
…101010111111001
31002021101100121202
4121002111113321
51330012322413
6105402543545
713260204632
oct3102252771
91067340552
10420042233
111a6114a46
12b8807bb5
136903b000
143db00889
1526d21e58
hex190955f9

420042233 has 8 divisors (see below), whose sum is σ = 455032200. Its totient is φ = 387729264.

The previous prime is 420042221. The next prime is 420042257. The reversal of 420042233 is 332240024.

It can be written as a sum of positive squares in 4 ways, for example, as 197346304 + 222695929 = 14048^2 + 14923^2 .

It is not a de Polignac number, because 420042233 - 218 = 419780089 is a prime.

It is a super-3 number, since 3×4200422333 (a number of 27 digits) contains 333 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (420042263) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 93398 + ... + 97791.

It is an arithmetic number, because the mean of its divisors is an integer number (56879025).

Almost surely, 2420042233 is an apocalyptic number.

It is an amenable number.

420042233 is a deficient number, since it is larger than the sum of its proper divisors (34989967).

420042233 is an equidigital number, since it uses as much as digits as its factorization.

420042233 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 191228 (or 191202 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 20.

The square root of 420042233 is about 20494.9318857126. The cubic root of 420042233 is about 748.9123392732.

Adding to 420042233 its reverse (332240024), we get a palindrome (752282257).

The spelling of 420042233 in words is "four hundred twenty million, forty-two thousand, two hundred thirty-three".

Divisors: 1 13 169 2197 191189 2485457 32310941 420042233