Search a number
-
+
22147061048 = 2371930767801
BaseRepresentation
bin10100101000000100…
…010101010100111000
32010011110121021022022
4110220010111110320
5330324121423143
614101344214012
71412552625050
oct245004252470
963143537268
1022147061048
119435490842
12436100a308
13211c462268
141101502560
158994cc268
hex528115538

22147061048 has 64 divisors (see below), whose sum is σ = 50119238400. Its totient is φ = 8962617600.

The previous prime is 22147061039. The next prime is 22147061089. The reversal of 22147061048 is 84016074122.

It is a junction number, because it is equal to n+sod(n) for n = 22147060999 and 22147061017.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 292748 + ... + 360548.

It is an arithmetic number, because the mean of its divisors is an integer number (783113100).

Almost surely, 222147061048 is an apocalyptic number.

22147061048 is a gapful number since it is divisible by the number (28) 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 22147061048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25059619200).

22147061048 is an abundant number, since it is smaller than the sum of its proper divisors (27972177352).

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

22147061048 is a wasteful number, since it uses less digits than its factorization.

22147061048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68140 (or 68136 counting only the distinct ones).

The product of its (nonzero) digits is 21504, while the sum is 35.

The spelling of 22147061048 in words is "twenty-two billion, one hundred forty-seven million, sixty-one thousand, forty-eight".

Divisors: 1 2 4 7 8 14 19 28 38 56 76 133 152 266 307 532 614 1064 1228 2149 2456 4298 5833 8596 11666 17192 23332 40831 46664 67801 81662 135602 163324 271204 326648 474607 542408 949214 1288219 1898428 2576438 3796856 5152876 9017533 10305752 18035066 20814907 36070132 41629814 72140264 83259628 145704349 166519256 291408698 395483233 582817396 790966466 1165634792 1581932932 2768382631 3163865864 5536765262 11073530524 22147061048