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22402020004400 = 2452307829122003
BaseRepresentation
bin1010001011111111000000…
…11100011101001000110000
32221022121112021212120201102
411011333200130131020300
510414013314110120100
6115351202415023532
74501330640130431
oct505774034351060
987277467776642
1022402020004400
117157709300443
1226197b320aba8
13c66669815bca
14576399295488
1528cadbc71cd5
hex145fe071d230

22402020004400 has 120 divisors (see below), whose sum is σ = 54005132241984. Its totient is φ = 8930136556800.

The previous prime is 22402020004381. The next prime is 22402020004409. The reversal of 22402020004400 is 440002020422.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is not an unprimeable number, because it can be changed into a prime (22402020004409) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1018123799 + ... + 1018145801.

Almost surely, 222402020004400 is an apocalyptic number.

22402020004400 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 22402020004400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27002566120992).

22402020004400 is an abundant number, since it is smaller than the sum of its proper divisors (31603112237584).

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

22402020004400 is a wasteful number, since it uses less digits than its factorization.

22402020004400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30619 (or 30608 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 20.

Adding to 22402020004400 its reverse (440002020422), we get a palindrome (22842022024822).

The spelling of 22402020004400 in words is "twenty-two trillion, four hundred two billion, twenty million, four thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 307 400 614 1228 1535 2456 3070 4912 6140 7675 8291 12280 15350 16582 22003 24560 30700 33164 41455 44006 61400 66328 82910 88012 110015 122800 132656 165820 176024 207275 220030 331640 352048 414550 440060 550075 663280 829100 880120 1100150 1658200 1760240 2200300 2545337 3316400 4400600 5090674 6754921 8801200 10181348 12726685 13509842 20362696 25453370 27019684 33774605 40725392 50906740 54039368 63633425 67549210 101813480 108078736 127266850 135098420 168873025 182426873 203626960 254533700 270196840 337746050 364853746 509067400 540393680 675492100 729707492 912134365 1018134800 1350984200 1459414984 1824268730 2701968400 2918829968 3648537460 4560671825 7297074920 9121343650 14594149840 18242687300 36485374600 56005050011 72970749200 112010100022 224020200044 280025250055 448040400088 560050500110 896080800176 1120101000220 1400126250275 2240202000440 2800252500550 4480404000880 5600505001100 11201010002200 22402020004400