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2042233319 = 7323258871
BaseRepresentation
bin111100110111010…
…0000000111100111
312021022211012110002
41321232200013213
513140302431234
6534352051515
7101415461000
oct17156400747
95238735402
102042233319
11958873135
1248bb33b9b
132671435a9
141553301a7
15be45627e
hex79ba01e7

2042233319 has 16 divisors (see below), whose sum is σ = 2485171200. Its totient is φ = 1674371160.

The previous prime is 2042233309. The next prime is 2042233337. The reversal of 2042233319 is 9133322402.

It is not a de Polignac number, because 2042233319 - 228 = 1773797863 is a prime.

It is a super-2 number, since 2×20422333192 = 8341433858467511522, 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 = 2042233291 and 2042233300.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2042233309) 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 15 ways as a sum of consecutive naturals, for example, 121547 + ... + 137324.

It is an arithmetic number, because the mean of its divisors is an integer number (155323200).

Almost surely, 22042233319 is an apocalyptic number.

2042233319 is a deficient number, since it is larger than the sum of its proper divisors (442937881).

2042233319 is an equidigital number, since it uses as much as digits as its factorization.

2042233319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258915 (or 258901 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 29.

The square root of 2042233319 is about 45191.0756565940. The cubic root of 2042233319 is about 1268.7277893853.

The spelling of 2042233319 in words is "two billion, forty-two million, two hundred thirty-three thousand, three hundred nineteen".

Divisors: 1 7 23 49 161 343 1127 7889 258871 1812097 5954033 12684679 41678231 88792753 291747617 2042233319