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11102208 = 211313139
BaseRepresentation
bin101010010110…
…100000000000
3202220001100220
4222112200000
510320232313
61033543040
7163236645
oct52264000
922801326
1011102208
1162a3287
123874a80
1323b9470
14168ddcc
15e94823
hexa96800

11102208 has 96 divisors (see below), whose sum is σ = 32104800. Its totient is φ = 3391488.

The previous prime is 11102197. The next prime is 11102219. The reversal of 11102208 is 80220111.

It is an interprime number because it is at equal distance from previous prime (11102197) and next prime (11102219).

It is a tau number, because it is divible by the number of its divisors (96).

It is a zygodrome in base 4.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 79803 + ... + 79941.

It is an arithmetic number, because the mean of its divisors is an integer number (334425).

Almost surely, 211102208 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 11102208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16052400).

11102208 is an abundant number, since it is smaller than the sum of its proper divisors (21002592).

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

11102208 is a wasteful number, since it uses less digits than its factorization.

11102208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 32, while the sum is 15.

The square root of 11102208 is about 3331.9975990388. The cubic root of 11102208 is about 223.0847004087.

Adding to 11102208 its reverse (80220111), we get a palindrome (91322319).

The spelling of 11102208 in words is "eleven million, one hundred two thousand, two hundred eight".

Divisors: 1 2 3 4 6 8 12 13 16 24 26 32 39 48 52 64 78 96 104 128 139 156 192 208 256 278 312 384 416 417 512 556 624 768 832 834 1024 1112 1248 1536 1664 1668 1807 2048 2224 2496 3072 3328 3336 3614 4448 4992 5421 6144 6656 6672 7228 8896 9984 10842 13312 13344 14456 17792 19968 21684 26624 26688 28912 35584 39936 43368 53376 57824 71168 79872 86736 106752 115648 142336 173472 213504 231296 284672 346944 427008 462592 693888 854016 925184 1387776 1850368 2775552 3700736 5551104 11102208