Search a number
-
+
1022244320 = 25546713681
BaseRepresentation
bin111100111011100…
…011010111100000
32122020112101120202
4330323203113200
54043143304240
6245234124332
734221635066
oct7473432740
92566471522
101022244320
11485037319
122464206a8
13133a27cc6
1499a9c036
155eb27315
hex3cee35e0

1022244320 has 48 divisors (see below), whose sum is σ = 2420400528. Its totient is φ = 407992320.

The previous prime is 1022244319. The next prime is 1022244343. The reversal of 1022244320 is 234422201.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a junction number, because it is equal to n+sod(n) for n = 1022244292 and 1022244301.

It is a congruent number.

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 7 ways as a sum of consecutive naturals, for example, 67880 + ... + 81560.

It is an arithmetic number, because the mean of its divisors is an integer number (50425011).

Almost surely, 21022244320 is an apocalyptic number.

1022244320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1022244320 is an abundant number, since it is smaller than the sum of its proper divisors (1398156208).

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

1022244320 is a wasteful number, since it uses less digits than its factorization.

1022244320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14163 (or 14155 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 20.

The square root of 1022244320 is about 31972.5557314394. Note that the first 3 decimals coincide. The cubic root of 1022244320 is about 1007.3604639821.

Adding to 1022244320 its reverse (234422201), we get a palindrome (1256666521).

It can be divided in two parts, 102 and 2244320, that added together give a palindrome (2244422).

The spelling of 1022244320 in words is "one billion, twenty-two million, two hundred forty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 467 934 1868 2335 3736 4670 7472 9340 13681 14944 18680 27362 37360 54724 68405 74720 109448 136810 218896 273620 437792 547240 1094480 2188960 6389027 12778054 25556108 31945135 51112216 63890270 102224432 127780540 204448864 255561080 511122160 1022244320