Search a number
-
+
22140536100 = 22352547134921
BaseRepresentation
bin10100100111101011…
…011100010100100100
32010011000022202202120
4110213223130110210
5330320434123400
614100552305540
71412443310634
oct244753342444
963130282676
1022140536100
119431834521
12435a9a22b0
13211acb9347
1411006c46c4
15898b3dca0
hex527adc524

22140536100 has 72 divisors (see below), whose sum is σ = 64177538208. Its totient is φ = 5893305600.

The previous prime is 22140536063. The next prime is 22140536219. The reversal of 22140536100 is 163504122.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 96640 + ... + 231560.

Almost surely, 222140536100 is an apocalyptic number.

22140536100 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 22140536100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32088769104).

22140536100 is an abundant number, since it is smaller than the sum of its proper divisors (42037002108).

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

22140536100 is a wasteful number, since it uses less digits than its factorization.

22140536100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135485 (or 135478 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 24.

The spelling of 22140536100 in words is "twenty-two billion, one hundred forty million, five hundred thirty-six thousand, one hundred".

Divisors: 1 2 3 4 5 6 10 12 15 20 25 30 50 60 75 100 150 300 547 1094 1641 2188 2735 3282 5470 6564 8205 10940 13675 16410 27350 32820 41025 54700 82050 134921 164100 269842 404763 539684 674605 809526 1349210 1619052 2023815 2698420 3373025 4047630 6746050 8095260 10119075 13492100 20238150 40476300 73801787 147603574 221405361 295207148 369008935 442810722 738017870 885621444 1107026805 1476035740 1845044675 2214053610 3690089350 4428107220 5535134025 7380178700 11070268050 22140536100