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1442222442 = 233831512131
BaseRepresentation
bin101010111110110…
…1001000101101010
310201111210111021000
41111331221011222
510423202104232
6355035455430
750511455103
oct12575510552
93644714230
101442222442
11680108081
12342bb7576
1319ca42a7b
14d97833aa
158693527c
hex55f6916a

1442222442 has 64 divisors (see below), whose sum is σ = 3266565120. Its totient is φ = 471582000.

The previous prime is 1442222423. The next prime is 1442222447. The reversal of 1442222442 is 2442222441.

1442222442 is a `hidden beast` number, since 14 + 422 + 224 + 4 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (1442222447) 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 31 ways as a sum of consecutive naturals, for example, 675717 + ... + 677847.

It is an arithmetic number, because the mean of its divisors is an integer number (51040080).

Almost surely, 21442222442 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442222442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1633282560).

1442222442 is an abundant number, since it is smaller than the sum of its proper divisors (1824342678).

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

1442222442 is a wasteful number, since it uses less digits than its factorization.

1442222442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2376 (or 2370 counting only the distinct ones).

The product of its digits is 8192, while the sum is 27.

The square root of 1442222442 is about 37976.6038765975. The cubic root of 1442222442 is about 1129.8238799315.

Adding to 1442222442 its reverse (2442222441), we get a palindrome (3884444883).

Subtracting 1442222442 from its reverse (2442222441), we obtain a palindrome (999999999).

It can be divided in two parts, 14422 and 22442, that added together give a square (36864 = 1922).

The spelling of 1442222442 in words is "one billion, four hundred forty-two million, two hundred twenty-two thousand, four hundred forty-two".

Divisors: 1 2 3 6 9 18 27 54 83 151 166 249 302 453 498 747 906 1359 1494 2131 2241 2718 4077 4262 4482 6393 8154 12533 12786 19179 25066 37599 38358 57537 75198 112797 115074 176873 225594 321781 338391 353746 530619 643562 676782 965343 1061238 1591857 1930686 2896029 3183714 4775571 5792058 8688087 9551142 17376174 26707823 53415646 80123469 160246938 240370407 480740814 721111221 1442222442