Search a number
-
+
1122231440 = 245112115933
BaseRepresentation
bin100001011100011…
…1110010010010000
32220012200021010102
41002320332102100
54244242401230
6303205151532
736544544531
oct10270762220
92805607112
101122231440
1152651a100
122739bb5a8
1314b665995
14a9088688
15687c8045
hex42e3e490

1122231440 has 60 divisors (see below), whose sum is σ = 2867975292. Its totient is φ = 408080640.

The previous prime is 1122231427. The next prime is 1122231449. The reversal of 1122231440 is 441322211.

It can be written as a sum of positive squares in 2 ways, for example, as 245360896 + 876870544 = 15664^2 + 29612^2 .

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

It is not an unprimeable number, because it can be changed into a prime (1122231449) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 48287 + ... + 67646.

Almost surely, 21122231440 is an apocalyptic number.

1122231440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

1122231440 is an abundant number, since it is smaller than the sum of its proper divisors (1745743852).

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

1122231440 is a wasteful number, since it uses less digits than its factorization.

1122231440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115968 (or 115951 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 20.

The square root of 1122231440 is about 33499.7229839293. The cubic root of 1122231440 is about 1039.1880496899.

Adding to 1122231440 its reverse (441322211), we get a palindrome (1563553651).

The spelling of 1122231440 in words is "one billion, one hundred twenty-two million, two hundred thirty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 40 44 55 80 88 110 121 176 220 242 440 484 605 880 968 1210 1936 2420 4840 9680 115933 231866 463732 579665 927464 1159330 1275263 1854928 2318660 2550526 4637320 5101052 6376315 9274640 10202104 12752630 14027893 20404208 25505260 28055786 51010520 56111572 70139465 102021040 112223144 140278930 224446288 280557860 561115720 1122231440