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22404023121340 = 22572173196342073
BaseRepresentation
bin1010001100000010101111…
…10101101111010110111100
32221022210200220002110120201
411012001113311233112330
510414031414404340330
6115352133252453244
74501431402263500
oct506012765572674
987283626073521
1022404023121340
117158546a86893
12261a07201a224
13c668c8811bc3
14576509322300
1528cba7a4ceca
hex146057d6f5bc

22404023121340 has 144 divisors (see below), whose sum is σ = 57952419954912. Its totient is φ = 7229135499264.

The previous prime is 22404023121247. The next prime is 22404023121419. The reversal of 22404023121340 is 4312132040422.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a junction number, because it is equal to n+sod(n) for n = 22404023121299 and 22404023121308.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 532482544 + ... + 532524616.

It is an arithmetic number, because the mean of its divisors is an integer number (402447360798).

Almost surely, 222404023121340 is an apocalyptic number.

22404023121340 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 22404023121340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28976209977456).

22404023121340 is an abundant number, since it is smaller than the sum of its proper divisors (35548396833572).

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

22404023121340 is a wasteful number, since it uses less digits than its factorization.

22404023121340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74076 (or 74067 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 28.

Adding to 22404023121340 its reverse (4312132040422), we get a palindrome (26716155161762).

The spelling of 22404023121340 in words is "twenty-two trillion, four hundred four billion, twenty-three million, one hundred twenty-one thousand, three hundred forty".

Divisors: 1 2 4 5 7 10 14 17 20 28 34 35 49 68 70 85 98 119 140 170 196 238 245 340 476 490 595 833 980 1190 1666 2380 3332 4165 8330 16660 31963 42073 63926 84146 127852 159815 168292 210365 223741 294511 319630 420730 447482 543371 589022 639260 715241 841460 894964 1086742 1118705 1178044 1430482 1472555 1566187 2061577 2173484 2237410 2716855 2860964 2945110 3132374 3576205 3803597 4123154 4474820 5006687 5433710 5890220 6264748 7152410 7607194 7830935 8246308 10013374 10307885 10867420 14304820 15214388 15661870 19017985 20026748 20615770 25033435 26625179 31323740 35046809 38035970 41231540 50066870 53250358 70093618 76071940 100133740 106500716 133125895 140187236 175234045 266251790 350468090 532503580 700936180 1344779299 2689558598 5379117196 6723896495 9413455093 13447792990 18826910186 22861248083 26895585980 37653820372 45722496166 47067275465 65894185651 91444992332 94134550930 114306240415 131788371302 160028736581 188269101860 228612480830 263576742604 320057473162 329470928255 457224961660 640114946324 658941856510 800143682905 1120201156067 1317883713020 1600287365810 2240402312134 3200574731620 4480804624268 5601005780335 11202011560670 22404023121340