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11228455040 = 275111594951
BaseRepresentation
bin10100111010100010…
…01010000010000000
31001222112022121122012
422131101022002000
5140443441030130
65054104432052
7545152202345
oct123521120200
931875277565
1011228455040
114842196510
122214478628
13109c36564a
1478737c7cc
1545ab69995
hex29d44a080

11228455040 has 64 divisors (see below), whose sum is σ = 29283318720. Its totient is φ = 4083072000.

The previous prime is 11228455039. The next prime is 11228455087. The reversal of 11228455040 is 4055482211.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a junction number, because it is equal to n+sod(n) for n = 11228454988 and 11228455006.

It is an unprimeable number.

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, 790436 + ... + 804515.

It is an arithmetic number, because the mean of its divisors is an integer number (457551855).

Almost surely, 211228455040 is an apocalyptic number.

11228455040 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11228455040 is an abundant number, since it is smaller than the sum of its proper divisors (18054863680).

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

11228455040 is a wasteful number, since it uses less digits than its factorization.

11228455040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1594981 (or 1594969 counting only the distinct ones).

The product of its (nonzero) digits is 12800, while the sum is 32.

The spelling of 11228455040 in words is "eleven billion, two hundred twenty-eight million, four hundred fifty-five thousand, forty".

Divisors: 1 2 4 5 8 10 11 16 20 22 32 40 44 55 64 80 88 110 128 160 176 220 320 352 440 640 704 880 1408 1760 3520 7040 1594951 3189902 6379804 7974755 12759608 15949510 17544461 25519216 31899020 35088922 51038432 63798040 70177844 87722305 102076864 127596080 140355688 175444610 204153728 255192160 280711376 350889220 510384320 561422752 701778440 1020768640 1122845504 1403556880 2245691008 2807113760 5614227520 11228455040