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11220244224 = 28372298157
BaseRepresentation
bin10100111001100011…
…10101011100000000
31001221221212110111220
422130301311130000
5140434340303344
65053212435040
7545022334200
oct123461653400
931857773456
1011220244224
114838598612
122211778a80
13109a74c287
14786242400
1545a096c19
hex29cc75700

11220244224 has 108 divisors (see below), whose sum is σ = 34737792264. Its totient is φ = 3205773312.

The previous prime is 11220244199. The next prime is 11220244267. The reversal of 11220244224 is 42244202211.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 11220244194 and 11220244203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 111447 + ... + 186710.

Almost surely, 211220244224 is an apocalyptic number.

11220244224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

11220244224 is an abundant number, since it is smaller than the sum of its proper divisors (23517548040).

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

11220244224 is an equidigital number, since it uses as much as digits as its factorization.

11220244224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 298190 (or 298169 counting only the distinct ones).

The product of its (nonzero) digits is 2048, while the sum is 24.

Adding to 11220244224 its reverse (42244202211), we get a palindrome (53464446435).

The spelling of 11220244224 in words is "eleven billion, two hundred twenty million, two hundred forty-four thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 49 56 64 84 96 98 112 128 147 168 192 196 224 256 294 336 384 392 448 588 672 768 784 896 1176 1344 1568 1792 2352 2688 3136 4704 5376 6272 9408 12544 18816 37632 298157 596314 894471 1192628 1788942 2087099 2385256 3577884 4174198 4770512 6261297 7155768 8348396 9541024 12522594 14311536 14609693 16696792 19082048 25045188 28623072 29219386 33393584 38164096 43829079 50090376 57246144 58438772 66787168 76328192 87658158 100180752 114492288 116877544 133574336 175316316 200361504 228984576 233755088 267148672 350632632 400723008 467510176 534297344 701265264 801446016 935020352 1402530528 1602892032 1870040704 2805061056 3740081408 5610122112 11220244224