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1442313224 = 231124334651
BaseRepresentation
bin101010111110111…
…1111010000001000
310201111222002210022
41111331333100020
510423213010344
6355041440012
750512313552
oct12575772010
93644862708
101442313224
1168016a300
12343040008
1319ca751a1
14d97a84d2
15869520ee
hex55f7f408

1442313224 has 48 divisors (see below), whose sum is σ = 3041752560. Its totient is φ = 640332000.

The previous prime is 1442313209. The next prime is 1442313251. The reversal of 1442313224 is 4223132441.

It is a super-2 number, since 2×14423132242 = 4160534872250548352, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1442313193 and 1442313202.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 24299 + ... + 58949.

It is an arithmetic number, because the mean of its divisors is an integer number (63369845).

Almost surely, 21442313224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1442313224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1520876280).

1442313224 is an abundant number, since it is smaller than the sum of its proper divisors (1599439336).

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

1442313224 is a wasteful number, since it uses less digits than its factorization.

1442313224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34722 (or 34707 counting only the distinct ones).

The product of its digits is 4608, while the sum is 26.

The square root of 1442313224 is about 37977.7990936810. The cubic root of 1442313224 is about 1129.8475853638.

Adding to 1442313224 its reverse (4223132441), we get a palindrome (5665445665).

The spelling of 1442313224 in words is "one billion, four hundred forty-two million, three hundred thirteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 22 43 44 86 88 121 172 242 344 473 484 946 968 1892 3784 5203 10406 20812 34651 41624 69302 138604 277208 381161 762322 1489993 1524644 2979986 3049288 4192771 5959972 8385542 11919944 16389923 16771084 32779846 33542168 65559692 131119384 180289153 360578306 721156612 1442313224