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11492226 = 2331923487
BaseRepresentation
bin101011110101…
…101110000010
3210121212101000
4223311232002
510420222401
61050152430
7166453014
oct53655602
923555330
1011492226
11653a309
123a22716
1324c4b45
1417521b4
151020186
hexaf5b82

11492226 has 64 divisors (see below), whose sum is σ = 28108800. Its totient is φ = 3464208.

The previous prime is 11492219. The next prime is 11492231. The reversal of 11492226 is 62229411.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 11492226.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 23355 + ... + 23841.

It is an arithmetic number, because the mean of its divisors is an integer number (439200).

Almost surely, 211492226 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11492226, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14054400).

11492226 is an abundant number, since it is smaller than the sum of its proper divisors (16616574).

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

11492226 is a wasteful number, since it uses less digits than its factorization.

11492226 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 540 (or 534 counting only the distinct ones).

The product of its digits is 1728, while the sum is 27.

The square root of 11492226 is about 3390.0185840199. The cubic root of 11492226 is about 225.6669985481. Note that the first 3 decimals are identical.

It can be divided in two parts, 1149 and 2226, that added together give a cube (3375 = 153).

The spelling of 11492226 in words is "eleven million, four hundred ninety-two thousand, two hundred twenty-six".

Divisors: 1 2 3 6 9 18 19 23 27 38 46 54 57 69 114 138 171 207 342 414 437 487 513 621 874 974 1026 1242 1311 1461 2622 2922 3933 4383 7866 8766 9253 11201 11799 13149 18506 22402 23598 26298 27759 33603 55518 67206 83277 100809 166554 201618 212819 249831 302427 425638 499662 604854 638457 1276914 1915371 3830742 5746113 11492226