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11403220224 = 283114331391
BaseRepresentation
bin10101001111010111…
…10101010100000000
31002102201011121101210
422213223311110000
5141323211021344
65123310330120
7552403526004
oct124753652400
932381147353
1011403220224
114921903150
122262ab9940
1310c96258b6
147a2672704
1546b18bdb9
hex2a7af5500

11403220224 has 144 divisors (see below), whose sum is σ = 33879250944. Its totient is φ = 3375052800.

The previous prime is 11403220207. The next prime is 11403220261. The reversal of 11403220224 is 42202230411.

It is a super-2 number, since 2×114032202242 (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11403220224.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 347569 + ... + 378959.

It is an arithmetic number, because the mean of its divisors is an integer number (235272576).

Almost surely, 211403220224 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 11403220224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16939625472).

11403220224 is an abundant number, since it is smaller than the sum of its proper divisors (22476030720).

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

11403220224 is a wasteful number, since it uses less digits than its factorization.

11403220224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 31464 (or 31450 counting only the distinct ones).

The product of its (nonzero) digits is 768, while the sum is 21.

Adding to 11403220224 its reverse (42202230411), we get a palindrome (53605450635).

The spelling of 11403220224 in words is "eleven billion, four hundred three million, two hundred twenty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 43 44 48 64 66 86 88 96 128 129 132 172 176 192 256 258 264 344 352 384 473 516 528 688 704 768 946 1032 1056 1376 1408 1419 1892 2064 2112 2752 2816 2838 3784 4128 4224 5504 5676 7568 8256 8448 11008 11352 15136 16512 22704 30272 31391 33024 45408 60544 62782 90816 94173 121088 125564 181632 188346 251128 345301 363264 376692 502256 690602 753384 1004512 1035903 1349813 1381204 1506768 2009024 2071806 2699626 2762408 3013536 4018048 4049439 4143612 5399252 5524816 6027072 8036096 8098878 8287224 10798504 11049632 12054144 14847943 16197756 16574448 21597008 22099264 24108288 29695886 32395512 33148896 43194016 44198528 44543829 59391772 64791024 66297792 86388032 88397056 89087658 118783544 129582048 132595584 172776064 178175316 237567088 259164096 265191168 345552128 356350632 475134176 518328192 712701264 950268352 1036656384 1425402528 1900536704 2850805056 3801073408 5701610112 11403220224