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1122341440 = 26511615227
BaseRepresentation
bin100001011100101…
…1001001001000000
32220012212212000111
41002321121021000
54244304411230
6303211401104
736545513323
oct10271311100
92805785014
101122341440
11526594810
12273a53194
1314b6a3a7c
14a90b67ba
15687ea92a
hex42e59240

1122341440 has 112 divisors (see below), whose sum is σ = 2963899584. Its totient is φ = 401356800.

The previous prime is 1122341431. The next prime is 1122341443. The reversal of 1122341440 is 441432211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is not an unprimeable number, because it can be changed into a prime (1122341443) 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 15 ways as a sum of consecutive naturals, for example, 212107 + ... + 217333.

Almost surely, 21122341440 is an apocalyptic number.

1122341440 is a gapful number since it is divisible by the number (10) 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 1122341440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1481949792).

1122341440 is an abundant number, since it is smaller than the sum of its proper divisors (1841558144).

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

1122341440 is a wasteful number, since it uses less digits than its factorization.

1122341440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5316 (or 5306 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 22.

The square root of 1122341440 is about 33501.3647483203. The cubic root of 1122341440 is about 1039.2220019707. Note that the first 3 decimals are identical.

Adding to 1122341440 its reverse (441432211), we get a palindrome (1563773651).

The spelling of 1122341440 in words is "one billion, one hundred twenty-two million, three hundred forty-one thousand, four hundred forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 61 64 80 88 110 122 160 176 220 244 305 320 352 440 488 610 671 704 880 976 1220 1342 1760 1952 2440 2684 3355 3520 3904 4880 5227 5368 6710 9760 10454 10736 13420 19520 20908 21472 26135 26840 41816 42944 52270 53680 57497 83632 104540 107360 114994 167264 209080 214720 229988 287485 318847 334528 418160 459976 574970 637694 836320 919952 1149940 1275388 1594235 1672640 1839904 2299880 2550776 3188470 3507317 3679808 4599760 5101552 6376940 7014634 9199520 10203104 12753880 14029268 17536585 18399040 20406208 25507760 28058536 35073170 51015520 56117072 70146340 102031040 112234144 140292680 224468288 280585360 561170720 1122341440