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20412223440 = 2435770917137
BaseRepresentation
bin10011000000101010…
…011100111111010000
31221200120012101111120
4103000222130333100
5313301012122230
613213252442240
71321556015340
oct230052347720
957616171446
1020412223440
118725193654
123b58019380
131c03c08b2b
14db8d4cd20
157e7046310
hex4c0a9cfd0

20412223440 has 160 divisors (see below), whose sum is σ = 72423816960. Its totient is φ = 4658798592.

The previous prime is 20412223411. The next prime is 20412223441. The reversal of 20412223440 is 4432221402.

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

It is a self number, because there is not a number n which added to its sum of digits gives 20412223440.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (20412223441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1182552 + ... + 1199688.

It is an arithmetic number, because the mean of its divisors is an integer number (452648856).

Almost surely, 220412223440 is an apocalyptic number.

20412223440 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 20412223440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36211908480).

20412223440 is an abundant number, since it is smaller than the sum of its proper divisors (52011593520).

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

20412223440 is a wasteful number, since it uses less digits than its factorization.

20412223440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17869 (or 17863 counting only the distinct ones).

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

Adding to 20412223440 its reverse (4432221402), we get a palindrome (24844444842).

The spelling of 20412223440 in words is "twenty billion, four hundred twelve million, two hundred twenty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 35 40 42 48 56 60 70 80 84 105 112 120 140 168 210 240 280 336 420 560 709 840 1418 1680 2127 2836 3545 4254 4963 5672 7090 8508 9926 10635 11344 14180 14889 17016 17137 19852 21270 24815 28360 29778 34032 34274 39704 42540 49630 51411 56720 59556 68548 74445 79408 85080 85685 99260 102822 119112 119959 137096 148890 170160 171370 198520 205644 238224 239918 257055 274192 297780 342740 359877 397040 411288 479836 514110 595560 599795 685480 719754 822576 959672 1028220 1191120 1199590 1370960 1439508 1799385 1919344 2056440 2399180 2879016 3598770 4112880 4798360 5758032 7197540 9596720 12150133 14395080 24300266 28790160 36450399 48600532 60750665 72900798 85050931 97201064 121501330 145801596 170101862 182251995 194402128 243002660 255152793 291603192 340203724 364503990 425254655 486005320 510305586 583206384 680407448 729007980 850509310 972010640 1020611172 1275763965 1360814896 1458015960 1701018620 2041222344 2551527930 2916031920 3402037240 4082444688 5103055860 6804074480 10206111720 20412223440