Search a number
-
+
22654065505000 = 23544530813101
BaseRepresentation
bin1010010011010100011111…
…00001101111001011101000
32222012201002202221122011011
411021222033201233023220
510432131011232130000
6120103044540513304
74525462601416666
oct511521741571350
988181082848134
1022654065505000
117244598429556
12265a61484b834
13c843665c0587
14584669607c36
1529443e43a2ba
hex149a8f86f2e8

22654065505000 has 40 divisors (see below), whose sum is σ = 53078475489930. Its totient is φ = 9061626200000.

The previous prime is 22654065504947. The next prime is 22654065505031. The reversal of 22654065505000 is 50556045622.

It can be written as a sum of positive squares in 5 ways, for example, as 731274681316 + 21922790823684 = 855146^2 + 4682178^2 .

It is a tau number, because it is divible by the number of its divisors (40).

It is a Harshad number since it is a multiple of its sum of digits (40).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2265401551 + ... + 2265411550.

Almost surely, 222654065505000 is an apocalyptic number.

22654065505000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22654065505000 is an abundant number, since it is smaller than the sum of its proper divisors (30424409984930).

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

22654065505000 is an equidigital number, since it uses as much as digits as its factorization.

22654065505000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4530813127 (or 4530813108 counting only the distinct ones).

The product of its (nonzero) digits is 360000, while the sum is 40.

The spelling of 22654065505000 in words is "twenty-two trillion, six hundred fifty-four billion, sixty-five million, five hundred five thousand".

Divisors: 1 2 4 5 8 10 20 25 40 50 100 125 200 250 500 625 1000 1250 2500 5000 4530813101 9061626202 18123252404 22654065505 36246504808 45308131010 90616262020 113270327525 181232524040 226540655050 453081310100 566351637625 906162620200 1132703275250 2265406550500 2831758188125 4530813101000 5663516376250 11327032752500 22654065505000