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2042433224 = 231319638781
BaseRepresentation
bin111100110111101…
…0000111011001000
312021100012100122222
41321233100323020
513140330330344
6534400233212
7101420252546
oct17157207310
95240170588
102042433224
1195899a347
1249000b808
132671b3590
14155382d96
15be4955ee
hex79bd0ec8

2042433224 has 16 divisors (see below), whose sum is σ = 4124144220. Its totient is φ = 942661440.

The previous prime is 2042433179. The next prime is 2042433229. The reversal of 2042433224 is 4223342402.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2041413124 + 1020100 = 45182^2 + 1010^2 .

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a junction number, because it is equal to n+sod(n) for n = 2042433193 and 2042433202.

It is not an unprimeable number, because it can be changed into a prime (2042433229) 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 3 ways as a sum of consecutive naturals, for example, 9819287 + ... + 9819494.

Almost surely, 22042433224 is an apocalyptic number.

It is an amenable number.

2042433224 is an abundant number, since it is smaller than the sum of its proper divisors (2081710996).

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

2042433224 is a wasteful number, since it uses less digits than its factorization.

2042433224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19638800 (or 19638796 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 26.

The square root of 2042433224 is about 45193.2873776626. The cubic root of 2042433224 is about 1268.7691847132.

Adding to 2042433224 its reverse (4223342402), we get a palindrome (6265775626).

The spelling of 2042433224 in words is "two billion, forty-two million, four hundred thirty-three thousand, two hundred twenty-four".

Divisors: 1 2 4 8 13 26 52 104 19638781 39277562 78555124 157110248 255304153 510608306 1021216612 2042433224