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11230033440 = 253575131153
BaseRepresentation
bin10100111010101110…
…01011011000100000
31001222122021210210110
422131113023120200
5140444342032230
65054202331320
7545201465163
oct123527133040
931878253713
1011230033440
11484307437a
122214ab9b40
13109c798c02
1478766dada
1545ad7c4b0
hex29d5cb620

11230033440 has 96 divisors (see below), whose sum is σ = 35422845696. Its totient is φ = 2990592000.

The previous prime is 11230033427. The next prime is 11230033447. The reversal of 11230033440 is 4433003211.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×112300334402 (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (11230033447) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 344904 + ... + 376056.

It is an arithmetic number, because the mean of its divisors is an integer number (368987976).

Almost surely, 211230033440 is an apocalyptic number.

11230033440 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 11230033440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17711422848).

11230033440 is an abundant number, since it is smaller than the sum of its proper divisors (24192812256).

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

11230033440 is a wasteful number, since it uses less digits than its factorization.

11230033440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31922 (or 31914 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 11230033440 its reverse (4433003211), we get a palindrome (15663036651).

The spelling of 11230033440 in words is "eleven billion, two hundred thirty million, thirty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 751 1502 2253 3004 3755 4506 6008 7510 9012 11265 12016 15020 18024 22530 24032 30040 31153 36048 45060 60080 62306 72096 90120 93459 120160 124612 155765 180240 186918 249224 311530 360480 373836 467295 498448 623060 747672 934590 996896 1246120 1495344 1869180 2492240 2990688 3738360 4984480 7476720 14953440 23395903 46791806 70187709 93583612 116979515 140375418 187167224 233959030 280750836 350938545 374334448 467918060 561501672 701877090 748668896 935836120 1123003344 1403754180 1871672240 2246006688 2807508360 3743344480 5615016720 11230033440