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11228260 = 2254113693
BaseRepresentation
bin101010110101…
…010001100100
3210010110021111
4222311101210
510333301020
61040354404
7164303311
oct52652144
923113244
1011228260
116379a5a
123915a04
132431954
1416c3d08
15ebbd5a
hexab5464

11228260 has 24 divisors (see below), whose sum is σ = 24156216. Its totient is φ = 4381440.

The previous prime is 11228257. The next prime is 11228263. The reversal of 11228260 is 6282211.

11228260 = T285 + T286 + ... + T448.

It is an interprime number because it is at equal distance from previous prime (11228257) and next prime (11228263).

It can be written as a sum of positive squares in 4 ways, for example, as 1827904 + 9400356 = 1352^2 + 3066^2 .

It is not an unprimeable number, because it can be changed into a prime (11228263) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6027 + ... + 7666.

It is an arithmetic number, because the mean of its divisors is an integer number (1006509).

Almost surely, 211228260 is an apocalyptic number.

11228260 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11228260 is an abundant number, since it is smaller than the sum of its proper divisors (12927956).

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

11228260 is a wasteful number, since it uses less digits than its factorization.

11228260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13743 (or 13741 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 22.

The square root of 11228260 is about 3350.8595912094. The cubic root of 11228260 is about 223.9258098267.

The spelling of 11228260 in words is "eleven million, two hundred twenty-eight thousand, two hundred sixty".

Divisors: 1 2 4 5 10 20 41 82 164 205 410 820 13693 27386 54772 68465 136930 273860 561413 1122826 2245652 2807065 5614130 11228260