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22144412340 = 2233541008171
BaseRepresentation
bin10100100111111010…
…001110101010110100
32010011021121200222000
4110213322032222310
5330322432143330
614101211335300
71412521253631
oct244772165264
963137550860
1022144412340
119433a41826
124360151530
13211ba4578b
141101013188
15899157560
hex527e8eab4

22144412340 has 48 divisors (see below), whose sum is σ = 68893728960. Its totient is φ = 5905176480.

The previous prime is 22144412327. The next prime is 22144412359. The reversal of 22144412340 is 4321444122.

22144412340 is a `hidden beast` number, since 2 + 214 + 4 + 412 + 34 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 20503546 + ... + 20504625.

It is an arithmetic number, because the mean of its divisors is an integer number (1435286020).

Almost surely, 222144412340 is an apocalyptic number.

22144412340 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22144412340 is an abundant number, since it is smaller than the sum of its proper divisors (46749316620).

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

22144412340 is a wasteful number, since it uses less digits than its factorization.

22144412340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41008189 (or 41008181 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 27.

Adding to 22144412340 its reverse (4321444122), we get a palindrome (26465856462).

The spelling of 22144412340 in words is "twenty-two billion, one hundred forty-four million, four hundred twelve thousand, three hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 90 108 135 180 270 540 41008171 82016342 123024513 164032684 205040855 246049026 369073539 410081710 492098052 615122565 738147078 820163420 1107220617 1230245130 1476294156 1845367695 2214441234 2460490260 3690735390 4428882468 5536103085 7381470780 11072206170 22144412340