Search a number
-
+
11228456000 = 26531403557
BaseRepresentation
bin10100111010100010…
…01010010001000000
31001222112022122221202
422131101022101000
5140443441043000
65054104440332
7545152205216
oct123521122100
931875278852
1011228456000
114842197203
1222144790a8
13109c365c08
1478737ccb6
1545ab69dd5
hex29d44a440

11228456000 has 56 divisors (see below), whose sum is σ = 27807291096. Its totient is φ = 4491379200.

The previous prime is 11228455963. The next prime is 11228456017. The reversal of 11228456000 is 65482211.

It can be written as a sum of positive squares in 4 ways, for example, as 22963264 + 11205492736 = 4792^2 + 105856^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 693779 + ... + 709778.

Almost surely, 211228456000 is an apocalyptic number.

11228456000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11228456000 is an abundant number, since it is smaller than the sum of its proper divisors (16578835096).

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

11228456000 is an equidigital number, since it uses as much as digits as its factorization.

11228456000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1403584 (or 1403564 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 29.

The spelling of 11228456000 in words is "eleven billion, two hundred twenty-eight million, four hundred fifty-six thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 160 200 250 320 400 500 800 1000 1600 2000 4000 8000 1403557 2807114 5614228 7017785 11228456 14035570 22456912 28071140 35088925 44913824 56142280 70177850 89827648 112284560 140355700 175444625 224569120 280711400 350889250 449138240 561422800 701778500 1122845600 1403557000 2245691200 2807114000 5614228000 11228456000