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22444244505040 = 245280553056313
BaseRepresentation
bin1010001101001101101010…
…01110001001000111010000
32221110122111222201110102111
411012212311032021013100
510420211303043130130
6115422424340355104
74504354205353021
oct506466516110720
987418458643374
1022444244505040
1171736069a2766
122625a180a5a94
13c6a6386c7927
1457844307ac48
1528dc5dbb502a
hex1469b53891d0

22444244505040 has 20 divisors (see below), whose sum is σ = 52182868474404. Its totient is φ = 8977697801984.

The previous prime is 22444244505013. The next prime is 22444244505041. The reversal of 22444244505040 is 4050544244422.

It can be written as a sum of positive squares in 2 ways, for example, as 17478887962176 + 4965356542864 = 4180776^2 + 2228308^2 .

It is a tau number, because it is divible by the number of its divisors (20).

It is a super-2 number, since 2×224442445050402 (a number of 28 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a junction number, because it is equal to n+sod(n) for n = 22444244504984 and 22444244505002.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (22444244505041) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 140276528077 + ... + 140276528236.

Almost surely, 222444244505040 is an apocalyptic number.

22444244505040 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22444244505040 is an abundant number, since it is smaller than the sum of its proper divisors (29738623969364).

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

22444244505040 is a wasteful number, since it uses less digits than its factorization.

22444244505040 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 280553056326 (or 280553056320 counting only the distinct ones).

The product of its (nonzero) digits is 819200, while the sum is 40.

Adding to 22444244505040 its reverse (4050544244422), we get a palindrome (26494788749462).

The spelling of 22444244505040 in words is "twenty-two trillion, four hundred forty-four billion, two hundred forty-four million, five hundred five thousand, forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 280553056313 561106112626 1122212225252 1402765281565 2244424450504 2805530563130 4488848901008 5611061126260 11222122252520 22444244505040