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22344340000 = 25548912553
BaseRepresentation
bin10100110011110100…
…111001001000100000
32010200012211002011011
4110303310321020200
5331230122340000
614133112430304
71420466520253
oct246364711040
963605732134
1022344340000
1195268853a4
1243b70a8394
1321512a5b78
14111d7b709a
158ab99a2ba
hex533d39220

22344340000 has 120 divisors (see below), whose sum is σ = 55592501580. Its totient is φ = 8836608000.

The previous prime is 22344339971. The next prime is 22344340003. The reversal of 22344340000 is 4344322.

It can be written as a sum of positive squares in 10 ways, for example, as 156450064 + 22187889936 = 12508^2 + 148956^2 .

It is not an unprimeable number, because it can be changed into a prime (22344340003) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1773724 + ... + 1786276.

Almost surely, 222344340000 is an apocalyptic number.

22344340000 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 22344340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27796250790).

22344340000 is an abundant number, since it is smaller than the sum of its proper divisors (33248161580).

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

22344340000 is an equidigital number, since it uses as much as digits as its factorization.

22344340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12672 (or 12649 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 22.

Adding to 22344340000 its reverse (4344322), we get a palindrome (22348684322).

The spelling of 22344340000 in words is "twenty-two billion, three hundred forty-four million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 89 100 125 160 178 200 250 356 400 445 500 625 712 800 890 1000 1250 1424 1780 2000 2225 2500 2848 3560 4000 4450 5000 7120 8900 10000 11125 12553 14240 17800 20000 22250 25106 35600 44500 50212 55625 62765 71200 89000 100424 111250 125530 178000 200848 222500 251060 313825 356000 401696 445000 502120 627650 890000 1004240 1117217 1255300 1569125 1780000 2008480 2234434 2510600 3138250 4468868 5021200 5586085 6276500 7845625 8937736 10042400 11172170 12553000 15691250 17875472 22344340 25106000 27930425 31382500 35750944 44688680 50212000 55860850 62765000 89377360 111721700 125530000 139652125 178754720 223443400 251060000 279304250 446886800 558608500 698260625 893773600 1117217000 1396521250 2234434000 2793042500 4468868000 5586085000 11172170000 22344340000