Search a number
-
+
22545440000 = 2854140909
BaseRepresentation
bin10100111111110100…
…000001110100000000
32011012020020000111022
4110333310001310000
5332133113040000
614205055005012
71425461035526
oct247764016400
964166200438
1022545440000
11961a349846
124452509768
132183b56a55
14113c3a4316
158be470585
hex53fd01d00

22545440000 has 90 divisors (see below), whose sum is σ = 56235912810. Its totient is φ = 9018112000.

The previous prime is 22545439993. The next prime is 22545440017. The reversal of 22545440000 is 4454522.

It can be written as a sum of positive squares in 5 ways, for example, as 7500945664 + 15044494336 = 86608^2 + 122656^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 89546 + ... + 230454.

Almost surely, 222545440000 is an apocalyptic number.

22545440000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 22545440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28117956405).

22545440000 is an abundant number, since it is smaller than the sum of its proper divisors (33690472810).

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

22545440000 is an frugal number, since it uses more digits than its factorization.

22545440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 140945 (or 140916 counting only the distinct ones).

The product of its (nonzero) digits is 6400, while the sum is 26.

Adding to 22545440000 its reverse (4454522), we get a palindrome (22549894522).

The spelling of 22545440000 in words is "twenty-two billion, five hundred forty-five million, four hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 500 625 640 800 1000 1250 1280 1600 2000 2500 3200 4000 5000 6400 8000 10000 16000 20000 32000 40000 80000 140909 160000 281818 563636 704545 1127272 1409090 2254544 2818180 3522725 4509088 5636360 7045450 9018176 11272720 14090900 17613625 18036352 22545440 28181800 35227250 36072704 45090880 56363600 70454500 88068125 90181760 112727200 140909000 176136250 180363520 225454400 281818000 352272500 450908800 563636000 704545000 901817600 1127272000 1409090000 2254544000 2818180000 4509088000 5636360000 11272720000 22545440000