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11221456040 = 235299673669
BaseRepresentation
bin10100111001101100…
…11101010010101000
31001222001011000210222
422130312131102220
5140440143043130
65053254425212
7545035542164
oct123466352250
931861130728
1011221456040
114839246013
122212062208
13109aa84a22
14786479ca4
1545a235ce5
hex29cd9d4a8

11221456040 has 32 divisors (see below), whose sum is σ = 26118909000. Its totient is φ = 4333803264.

The previous prime is 11221456003. The next prime is 11221456049. The reversal of 11221456040 is 4065412211.

11221456040 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9382247044 + 1839208996 = 96862^2 + 42886^2 .

It is not an unprimeable number, because it can be changed into a prime (11221456049) 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 7 ways as a sum of consecutive naturals, for example, 4835675 + ... + 4837994.

Almost surely, 211221456040 is an apocalyptic number.

11221456040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11221456040 is an abundant number, since it is smaller than the sum of its proper divisors (14897452960).

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

11221456040 is a wasteful number, since it uses less digits than its factorization.

11221456040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9673709 (or 9673705 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 26.

Adding to 11221456040 its reverse (4065412211), we get a palindrome (15286868251).

The spelling of 11221456040 in words is "eleven billion, two hundred twenty-one million, four hundred fifty-six thousand, forty".

Divisors: 1 2 4 5 8 10 20 29 40 58 116 145 232 290 580 1160 9673669 19347338 38694676 48368345 77389352 96736690 193473380 280536401 386946760 561072802 1122145604 1402682005 2244291208 2805364010 5610728020 11221456040