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11022112224 = 25321011672269
BaseRepresentation
bin10100100001111100…
…00001010111100000
31001110011001022111200
422100332001113200
5140033130042344
65021414041200
7540065256654
oct122076012740
931404038450
1011022112224
114746771062
122177349200
13106869a2c6
14767bc8a64
154479ab069
hex290f815e0

11022112224 has 144 divisors (see below), whose sum is σ = 31858051680. Its totient is φ = 3614284800.

The previous prime is 11022112121. The next prime is 11022112229. The reversal of 11022112224 is 42221122011.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 11022112197 and 11022112206.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11022112229) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4856562 + ... + 4858830.

It is an arithmetic number, because the mean of its divisors is an integer number (221236470).

Almost surely, 211022112224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11022112224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15929025840).

11022112224 is an abundant number, since it is smaller than the sum of its proper divisors (20835939456).

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

11022112224 is a wasteful number, since it uses less digits than its factorization.

11022112224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2553 (or 2542 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 18.

Adding to 11022112224 its reverse (42221122011), we get a palindrome (53243234235).

The spelling of 11022112224 in words is "eleven billion, twenty-two million, one hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 101 144 167 202 288 303 334 404 501 606 668 808 909 1002 1212 1336 1503 1616 1818 2004 2269 2424 2672 3006 3232 3636 4008 4538 4848 5344 6012 6807 7272 8016 9076 9696 12024 13614 14544 16032 16867 18152 20421 24048 27228 29088 33734 36304 40842 48096 50601 54456 67468 72608 81684 101202 108912 134936 151803 163368 202404 217824 229169 269872 303606 326736 378923 404808 458338 539744 607212 653472 687507 757846 809616 916676 1136769 1214424 1375014 1515692 1619232 1833352 2062521 2273538 2428848 2750028 3031384 3410307 3666704 4125042 4547076 4857696 5500056 6062768 6820614 7333408 8250084 9094152 11000112 12125536 13641228 16500168 18188304 22000224 27282456 33000336 36376608 38271223 54564912 66000672 76542446 109129824 114813669 153084892 229627338 306169784 344441007 459254676 612339568 688882014 918509352 1224679136 1377764028 1837018704 2755528056 3674037408 5511056112 11022112224