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20406022224 = 2437101601309
BaseRepresentation
bin10011000000010010…
…110011000001010000
31221200010112100000220
4103000102303001100
5313242420202344
613212511513040
71321452220110
oct230022630120
957603470026
1020406022224
118721738585
123b55b28780
131c02847383
14db81b7040
157e671dc19
hex4c04b3050

20406022224 has 80 divisors (see below), whose sum is σ = 60842951040. Its totient is φ = 5772556800.

The previous prime is 20406022213. The next prime is 20406022271. The reversal of 20406022224 is 42222060402.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 20406022194 and 20406022203.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 266719 + ... + 334590.

It is an arithmetic number, because the mean of its divisors is an integer number (760536888).

Almost surely, 220406022224 is an apocalyptic number.

20406022224 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

20406022224 is an abundant number, since it is smaller than the sum of its proper divisors (40436928816).

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

20406022224 is a wasteful number, since it uses less digits than its factorization.

20406022224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601428 (or 601422 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

Adding to 20406022224 its reverse (42222060402), we get a palindrome (62628082626).

The spelling of 20406022224 in words is "twenty billion, four hundred six million, twenty-two thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 101 112 168 202 303 336 404 606 707 808 1212 1414 1616 2121 2424 2828 4242 4848 5656 8484 11312 16968 33936 601309 1202618 1803927 2405236 3607854 4209163 4810472 7215708 8418326 9620944 12627489 14431416 16836652 25254978 28862832 33673304 50509956 60732209 67346608 101019912 121464418 182196627 202039824 242928836 364393254 425125463 485857672 728786508 850250926 971715344 1275376389 1457573016 1700501852 2550752778 2915146032 3401003704 5101505556 6802007408 10203011112 20406022224