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11227655340 = 223251121932671
BaseRepresentation
bin10100111010011100…
…00110110010101100
31001222110210222122200
422131032012302230
5140443234432330
65054035341500
7545142332016
oct123516066254
931873728580
1011227655340
11484179a700
122214151890
13109c145655
147872111b6
1545aa5ca60
hex29d386cac

11227655340 has 216 divisors, whose sum is σ = 37642847424. Its totient is φ = 2706739200.

The previous prime is 11227655311. The next prime is 11227655347. The reversal of 11227655340 is 4355672211.

11227655340 is a `hidden beast` number, since 11 + 22 + 76 + 553 + 4 + 0 = 666.

11227655340 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 11227655295 and 11227655304.

It is not an unprimeable number, because it can be changed into a prime (11227655347) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4202205 + ... + 4204875.

Almost surely, 211227655340 is an apocalyptic number.

11227655340 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11227655340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18821423712).

11227655340 is an abundant number, since it is smaller than the sum of its proper divisors (26415192084).

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

11227655340 is a wasteful number, since it uses less digits than its factorization.

11227655340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2901 (or 2885 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 11227655340 in words is "eleven billion, two hundred twenty-seven million, six hundred fifty-five thousand, three hundred forty".