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22440333040 = 2451919774941
BaseRepresentation
bin10100111001100011…
…000100111011110000
32010220220110000211221
4110321203010323300
5331424211124130
614150422114424
71423043453326
oct247143047360
963826400757
1022440333040
119575a8a394
12442327ba14
132168145898
14112c443d16
158b510c87a
hex5398c4ef0

22440333040 has 80 divisors (see below), whose sum is σ = 55199279520. Its totient is φ = 8460426240.

The previous prime is 22440333011. The next prime is 22440333053. The reversal of 22440333040 is 4033304422.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×224403330402 (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 22440332996 and 22440333014.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 261970 + ... + 336910.

It is an arithmetic number, because the mean of its divisors is an integer number (689990994).

Almost surely, 222440333040 is an apocalyptic number.

22440333040 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 22440333040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27599639760).

22440333040 is an abundant number, since it is smaller than the sum of its proper divisors (32758946480).

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

22440333040 is a wasteful number, since it uses less digits than its factorization.

22440333040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 75170 (or 75164 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 25.

Adding to 22440333040 its reverse (4033304422), we get a palindrome (26473637462).

The spelling of 22440333040 in words is "twenty-two billion, four hundred forty million, three hundred thirty-three thousand, forty".

Divisors: 1 2 4 5 8 10 16 19 20 38 40 76 80 95 152 190 197 304 380 394 760 788 985 1520 1576 1970 3152 3743 3940 7486 7880 14972 15760 18715 29944 37430 59888 74860 74941 149720 149882 299440 299764 374705 599528 749410 1199056 1423879 1498820 2847758 2997640 5695516 5995280 7119395 11391032 14238790 14763377 22782064 28477580 29526754 56955160 59053508 73816885 113910320 118107016 147633770 236214032 280504163 295267540 561008326 590535080 1122016652 1181070160 1402520815 2244033304 2805041630 4488066608 5610083260 11220166520 22440333040