Search a number
-
+
1422093312 = 21032236709
BaseRepresentation
bin101010011000011…
…0110110000000000
310200002220211021200
41110300312300000
510403023441222
6353040221200
750145410433
oct12460666000
93602824250
101422093312
1166a809832
1233830a800
13198815943
14d6c2381a
1584caaeac
hex54c36c00

1422093312 has 132 divisors (see below), whose sum is σ = 4285435440. Its totient is φ = 453353472.

The previous prime is 1422093269. The next prime is 1422093317. The reversal of 1422093312 is 2133902241.

It is a happy number.

1422093312 is a `hidden beast` number, since 142 + 209 + 3 + 312 = 666.

It is not an unprimeable number, because it can be changed into a prime (1422093317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 208614 + ... + 215322.

It is an arithmetic number, because the mean of its divisors is an integer number (32465420).

Almost surely, 21422093312 is an apocalyptic number.

1422093312 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1422093312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2142717720).

1422093312 is an abundant number, since it is smaller than the sum of its proper divisors (2863342128).

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

1422093312 is a wasteful number, since it uses less digits than its factorization.

1422093312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6758 (or 6737 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 27.

The square root of 1422093312 is about 37710.6525003214. The cubic root of 1422093312 is about 1124.5429088260.

Adding to 1422093312 its reverse (2133902241), we get a palindrome (3555995553).

The spelling of 1422093312 in words is "one billion, four hundred twenty-two million, ninety-three thousand, three hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 32 36 46 48 64 69 72 92 96 128 138 144 184 192 207 256 276 288 368 384 414 512 552 576 736 768 828 1024 1104 1152 1472 1536 1656 2208 2304 2944 3072 3312 4416 4608 5888 6624 6709 8832 9216 11776 13248 13418 17664 20127 23552 26496 26836 35328 40254 52992 53672 60381 70656 80508 105984 107344 120762 154307 161016 211968 214688 241524 308614 322032 429376 462921 483048 617228 644064 858752 925842 966096 1234456 1288128 1388763 1717504 1851684 1932192 2468912 2576256 2777526 3435008 3703368 3864384 4937824 5152512 5555052 6870016 7406736 7728768 9875648 10305024 11110104 14813472 15457536 19751296 20610048 22220208 29626944 30915072 39502592 44440416 59253888 61830144 79005184 88880832 118507776 158010368 177761664 237015552 355523328 474031104 711046656 1422093312