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2045223131 = 71741419189
BaseRepresentation
bin111100111100111…
…1010000011011011
312021112110002200212
41321321322003123
513142034120011
6534540121335
7101453052440
oct17171720333
95245402625
102045223131
1195a525456
12490b3624b
1326794c403
141558ab9c7
15be84708b
hex79e7a0db

2045223131 has 16 divisors (see below), whose sum is σ = 2535261120. Its totient is φ = 1609681920.

The previous prime is 2045223121. The next prime is 2045223139. The reversal of 2045223131 is 1313225402.

It is not a de Polignac number, because 2045223131 - 210 = 2045222107 is a prime.

It is a super-2 number, since 2×20452231312 = 8365875311154886322, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 2045223097 and 2045223106.

It is not an unprimeable number, because it can be changed into a prime (2045223139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 204716 + ... + 214473.

It is an arithmetic number, because the mean of its divisors is an integer number (158453820).

Almost surely, 22045223131 is an apocalyptic number.

2045223131 is a deficient number, since it is larger than the sum of its proper divisors (490037989).

2045223131 is a wasteful number, since it uses less digits than its factorization.

2045223131 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 419254.

The product of its (nonzero) digits is 1440, while the sum is 23.

The square root of 2045223131 is about 45224.1432312432. The cubic root of 2045223131 is about 1269.3466230153.

Adding to 2045223131 its reverse (1313225402), we get a palindrome (3358448533).

The spelling of 2045223131 in words is "two billion, forty-five million, two hundred twenty-three thousand, one hundred thirty-one".

Divisors: 1 7 17 41 119 287 697 4879 419189 2934323 7126213 17186749 49883491 120307243 292174733 2045223131