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2242686342 = 2313172576581
BaseRepresentation
bin1000010110101100…
…1010110110000110
312210022000021022010
42011223022312012
514043111430332
61010312315050
7106401343101
oct20553126606
95708007263
102242686342
11a50a35496
125270a2a86
13299828b50
14173bcd738
15d1d4e9cc
hex85acad86

2242686342 has 64 divisors (see below), whose sum is σ = 5135223744. Its totient is φ = 646840320.

The previous prime is 2242686293. The next prime is 2242686353. The reversal of 2242686342 is 2436862422.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 2242686342.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 337492 + ... + 344072.

It is an arithmetic number, because the mean of its divisors is an integer number (80237871).

Almost surely, 22242686342 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2242686342, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2567611872).

2242686342 is an abundant number, since it is smaller than the sum of its proper divisors (2892537402).

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

2242686342 is a wasteful number, since it uses less digits than its factorization.

2242686342 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6873.

The product of its digits is 221184, while the sum is 39.

The square root of 2242686342 is about 47357.0094283835. The cubic root of 2242686342 is about 1308.9493629111.

The spelling of 2242686342 in words is "two billion, two hundred forty-two million, six hundred eighty-six thousand, three hundred forty-two".

Divisors: 1 2 3 6 13 17 26 34 39 51 78 102 221 257 442 514 663 771 1326 1542 3341 4369 6581 6682 8738 10023 13107 13162 19743 20046 26214 39486 56797 85553 111877 113594 170391 171106 223754 256659 335631 340782 513318 671262 1454401 1691317 2908802 3382634 4363203 5073951 8726406 10147902 21987121 28752389 43974242 57504778 65961363 86257167 131922726 172514334 373781057 747562114 1121343171 2242686342