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11102224 = 2474172
BaseRepresentation
bin101010010110…
…100000010000
3202220001101111
4222112200100
510320232344
61033543104
7163240000
oct52264020
922801344
1011102224
1162a32a1
123874a94
1323b9483
141690000
15e94834
hexa96810

11102224 has 75 divisors (see below), whose sum is σ = 26657117. Its totient is φ = 4478208.

The previous prime is 11102219. The next prime is 11102227. The reversal of 11102224 is 42220111.

It is a happy number.

The square root of 11102224 is 3332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 8643600 + 2458624 = 2940^2 + 1568^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11102227) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 653064 + ... + 653080.

Almost surely, 211102224 is an apocalyptic number.

11102224 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

11102224 is the 3332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11102224

11102224 is an abundant number, since it is smaller than the sum of its proper divisors (15554893).

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

11102224 is an frugal number, since it uses more digits than its factorization.

11102224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 26 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 13.

The cubic root of 11102224 is about 223.0848075752.

Adding to 11102224 its reverse (42220111), we get a palindrome (53322335).

The spelling of 11102224 in words is "eleven million, one hundred two thousand, two hundred twenty-four".

Divisors: 1 2 4 7 8 14 16 17 28 34 49 56 68 98 112 119 136 196 238 272 289 343 392 476 578 686 784 833 952 1156 1372 1666 1904 2023 2312 2401 2744 3332 4046 4624 4802 5488 5831 6664 8092 9604 11662 13328 14161 16184 19208 23324 28322 32368 38416 40817 46648 56644 81634 93296 99127 113288 163268 198254 226576 326536 396508 653072 693889 793016 1387778 1586032 2775556 5551112 11102224