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2042224561 = 13250923741
BaseRepresentation
bin111100110111001…
…1101111110110001
312021022210202102201
41321232131332301
513140302141221
6534351543201
7101415423316
oct17156357661
95238722381
102042224561
119588675a3
1248bb2ab01
1326713c600
1415532ad0d
15be453891
hex79b9dfb1

2042224561 has 12 divisors (see below), whose sum is σ = 2215840860. Its totient is φ = 1881347520.

The previous prime is 2042224553. The next prime is 2042224607. The reversal of 2042224561 is 1654222402.

It can be written as a sum of positive squares in 6 ways, for example, as 39125025 + 2003099536 = 6255^2 + 44756^2 .

It is not a de Polignac number, because 2042224561 - 23 = 2042224553 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2042224661) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 74151 + ... + 97891.

It is an arithmetic number, because the mean of its divisors is an integer number (184653405).

Almost surely, 22042224561 is an apocalyptic number.

It is an amenable number.

2042224561 is a deficient number, since it is larger than the sum of its proper divisors (173616299).

2042224561 is a wasteful number, since it uses less digits than its factorization.

2042224561 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24276 (or 24263 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 28.

The square root of 2042224561 is about 45190.9787568271. The cubic root of 2042224561 is about 1268.7259757606.

Adding to 2042224561 its reverse (1654222402), we get a palindrome (3696446963).

The spelling of 2042224561 in words is "two billion, forty-two million, two hundred twenty-four thousand, five hundred sixty-one".

Divisors: 1 13 169 509 6617 23741 86021 308633 4012229 12084169 157094197 2042224561