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420033224 = 23134038781
BaseRepresentation
bin11001000010010…
…011001011001000
31002021100220021002
4121002103023020
51330012030344
6105402434132
713260136442
oct3102231310
91067326232
10420033224
111a61091a6
12b8802948
1369036b90
143dadb492
1526d1e44e
hex190932c8

420033224 has 16 divisors (see below), whose sum is σ = 848144220. Its totient is φ = 193861440.

The previous prime is 420033221. The next prime is 420033259. The reversal of 420033224 is 422330024.

It can be written as a sum of positive squares in 2 ways, for example, as 323640100 + 96393124 = 17990^2 + 9818^2 .

It is a junction number, because it is equal to n+sod(n) for n = 420033196 and 420033205.

It is not an unprimeable number, because it can be changed into a prime (420033221) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 2019287 + ... + 2019494.

Almost surely, 2420033224 is an apocalyptic number.

It is an amenable number.

420033224 is an abundant number, since it is smaller than the sum of its proper divisors (428110996).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

420033224 is a wasteful number, since it uses less digits than its factorization.

420033224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4038800 (or 4038796 counting only the distinct ones).

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

The square root of 420033224 is about 20494.7120984902. The cubic root of 420033224 is about 748.9069850501.

Adding to 420033224 its reverse (422330024), we get a palindrome (842363248).

The spelling of 420033224 in words is "four hundred twenty million, thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 4038781 8077562 16155124 32310248 52504153 105008306 210016612 420033224