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11244224000 = 2953175691
BaseRepresentation
bin10100111100011010…
…10011111000000000
31002000121222202120202
422132031103320000
5141012010132000
65055430424332
7545433220112
oct123615237000
932017882522
1011244224000
114850086a09
1222198020a8
1310a26c6ca9
147894c53b2
1545c231dd5
hex29e353e00

11244224000 has 80 divisors (see below), whose sum is σ = 28038334896. Its totient is φ = 4497664000.

The previous prime is 11244223987. The next prime is 11244224009. The reversal of 11244224000 is 42244211.

It is a tau number, because it is divible by the number of its divisors (80).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11244224009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 23846 + ... + 151845.

Almost surely, 211244224000 is an apocalyptic number.

11244224000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11244224000 is an abundant number, since it is smaller than the sum of its proper divisors (16794110896).

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

11244224000 is an frugal number, since it uses more digits than its factorization.

11244224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 175724 (or 175698 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 20.

Adding to 11244224000 its reverse (42244211), we get a palindrome (11286468211).

The spelling of 11244224000 in words is "eleven billion, two hundred forty-four million, two hundred twenty-four thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 512 640 800 1000 1280 1600 2000 2560 3200 4000 6400 8000 12800 16000 32000 64000 175691 351382 702764 878455 1405528 1756910 2811056 3513820 4392275 5622112 7027640 8784550 11244224 14055280 17569100 21961375 22488448 28110560 35138200 43922750 44976896 56221120 70276400 87845500 89953792 112442240 140552800 175691000 224884480 281105600 351382000 449768960 562211200 702764000 1124422400 1405528000 2248844800 2811056000 5622112000 11244224000