Search a number
-
+
22542010000 = 24542254201
BaseRepresentation
bin10100111111100110…
…111100011010010000
32011011222202202102021
4110333212330122100
5332131223310000
614204453301224
71425416631526
oct247746743220
964158682367
1022542010000
119618416834
124451334814
132183225773
14113bb50316
158bdee411a
hex53f9bc690

22542010000 has 50 divisors (see below), whose sum is σ = 54576484622. Its totient is φ = 9016800000.

The previous prime is 22542009977. The next prime is 22542010019. The reversal of 22542010000 is 1024522.

It can be written as a sum of positive squares in 5 ways, for example, as 4587081984 + 17954928016 = 67728^2 + 133996^2 .

It is a tau number, because it is divible by the number of its divisors (50).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 1117101 + ... + 1137100.

Almost surely, 222542010000 is an apocalyptic number.

22542010000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22542010000 is an abundant number, since it is smaller than the sum of its proper divisors (32034474622).

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

22542010000 is an equidigital number, since it uses as much as digits as its factorization.

22542010000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2254229 (or 2254208 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 16.

Adding to 22542010000 its reverse (1024522), we get a palindrome (22543034522).

The spelling of 22542010000 in words is "twenty-two billion, five hundred forty-two million, ten thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 625 1000 1250 2000 2500 5000 10000 2254201 4508402 9016804 11271005 18033608 22542010 36067216 45084020 56355025 90168040 112710050 180336080 225420100 281775125 450840200 563550250 901680400 1127100500 1408875625 2254201000 2817751250 4508402000 5635502500 11271005000 22542010000