Search a number
-
+
2242828071 = 3211172945953
BaseRepresentation
bin1000010110101110…
…1101011100100111
312210022021110201100
42011223231130213
514043130444241
61010315331143
7106402503231
oct20553553447
95708243640
102242828071
11a51021a20
12527150ab3
13299878503
14173c29251
15d1d7b9b6
hex85aed727

2242828071 has 48 divisors (see below), whose sum is σ = 3871164960. Its totient is φ = 1235189760.

The previous prime is 2242828069. The next prime is 2242828097. The reversal of 2242828071 is 1708282422.

It is not a de Polignac number, because 2242828071 - 21 = 2242828069 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2242828771) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25831 + ... + 71783.

It is an arithmetic number, because the mean of its divisors is an integer number (80649270).

Almost surely, 22242828071 is an apocalyptic number.

2242828071 is a deficient number, since it is larger than the sum of its proper divisors (1628336889).

2242828071 is a wasteful number, since it uses less digits than its factorization.

2242828071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 46016 (or 46013 counting only the distinct ones).

The product of its (nonzero) digits is 28672, while the sum is 36.

The square root of 2242828071 is about 47358.5057935742. The cubic root of 2242828071 is about 1308.9769358227.

The spelling of 2242828071 in words is "two billion, two hundred forty-two million, eight hundred twenty-eight thousand, seventy-one".

Divisors: 1 3 9 11 17 29 33 51 87 99 153 187 261 319 493 561 957 1479 1683 2871 4437 5423 16269 45953 48807 137859 413577 505483 781201 1332637 1516449 2343603 3997911 4549347 7030809 8593211 11993733 14659007 22654829 25779633 43977021 67964487 77338899 131931063 203893461 249203119 747609357 2242828071