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22004244240240 = 2435271933719879
BaseRepresentation
bin1010000000011010000110…
…01010010101011101110000
32212220120210121121002200210
411000031003022111131300
510341004143011141430
6114444335451544120
74430516453666133
oct500150312253560
985816717532623
1022004244240240
117013a47251389
1225746a0a5b040
13c37cb6c43662
1456102267c21a
152825aa7812b0
hex140343295770

22004244240240 has 80 divisors (see below), whose sum is σ = 68238246758400. Its totient is φ = 5865640217856.

The previous prime is 22004244240229. The next prime is 22004244240257. The reversal of 22004244240240 is 4204244240022.

It is a happy number.

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

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 22004244240198 and 22004244240207.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16207380 + ... + 17512499.

It is an arithmetic number, because the mean of its divisors is an integer number (852978084480).

Almost surely, 222004244240240 is an apocalyptic number.

22004244240240 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22004244240240 is an abundant number, since it is smaller than the sum of its proper divisors (46234002518160).

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

22004244240240 is a wasteful number, since it uses less digits than its factorization.

22004244240240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33722614 (or 33722608 counting only the distinct ones).

The product of its (nonzero) digits is 32768, while the sum is 30.

Adding to 22004244240240 its reverse (4204244240022), we get a palindrome (26208488480262).

The spelling of 22004244240240 in words is "twenty-two trillion, four billion, two hundred forty-four million, two hundred forty thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 240 2719 5438 8157 10876 13595 16314 21752 27190 32628 40785 43504 54380 65256 81570 108760 130512 163140 217520 326280 652560 33719879 67439758 101159637 134879516 168599395 202319274 269759032 337198790 404638548 505798185 539518064 674397580 809277096 1011596370 1348795160 1618554192 2023192740 2697590320 4046385480 8092770960 91684351001 183368702002 275053053003 366737404004 458421755005 550106106006 733474808008 916843510010 1100212212012 1375265265015 1466949616016 1833687020020 2200424424024 2750530530030 3667374040040 4400848848048 5501061060060 7334748080080 11002122120120 22004244240240