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11228410368 = 2932722232
BaseRepresentation
bin10100111010100001…
…11111001000000000
31001222112020100100200
422131100333020000
5140443433112433
65054103445200
7545151625200
oct123520771000
931875210320
1011228410368
11484216599a
122214456800
13109c34b206
1478736a400
1545ab5b613
hex29d43f200

11228410368 has 270 divisors, whose sum is σ = 37866521979. Its totient is φ = 3193731072.

The previous prime is 11228410363. The next prime is 11228410433. The reversal of 11228410368 is 86301482211.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

11228410368 is a `hidden beast` number, since 1 + 1 + 2 + 284 + 10 + 368 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5614205184 + 5614205184 = 74928^2 + 74928^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=74928.

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

It is not an unprimeable number, because it can be changed into a prime (11228410363) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 50351505 + ... + 50351727.

Almost surely, 211228410368 is an apocalyptic number.

11228410368 is a gapful number since it is divisible by the number (18) 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 11228410368

11228410368 is an abundant number, since it is smaller than the sum of its proper divisors (26638111611).

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

11228410368 is an frugal number, since it uses more digits than its factorization.

11228410368 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 235 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

Multiplying 11228410368 by its product of nonzero digits (18432), we get a square (206962059902976 = 143861762).

Adding to 11228410368 its reverse (86301482211), we get a palindrome (97529892579).

The spelling of 11228410368 in words is "eleven billion, two hundred twenty-eight million, four hundred ten thousand, three hundred sixty-eight".