Search a number
-
+
22240211131100 = 22526122915921119
BaseRepresentation
bin1010000111010001100111…
…11000100101101011011100
32220202010212112221011001002
411003220303320211223130
510403340423022143400
6115145002325205432
74453542110322224
oct503506370455334
986663775834032
1022240211131100
1170a5025422a76
1225b2375860878
13c543208a0471
1456c609439084
152887bb5c6ed5
hex143a33e25adc

22240211131100 has 72 divisors (see below), whose sum is σ = 49266632150400. Its totient is φ = 8712035769600.

The previous prime is 22240211131079. The next prime is 22240211131139. The reversal of 22240211131100 is 113111204222.

It is a Harshad number since it is a multiple of its sum of digits (20).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6563660 + ... + 9357459.

Almost surely, 222240211131100 is an apocalyptic number.

22240211131100 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22240211131100 is an abundant number, since it is smaller than the sum of its proper divisors (27026421019300).

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

22240211131100 is a wasteful number, since it uses less digits than its factorization.

22240211131100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15921423 (or 15921416 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 20.

Adding to 22240211131100 its reverse (113111204222), we get a palindrome (22353322335322).

The spelling of 22240211131100 in words is "twenty-two trillion, two hundred forty billion, two hundred eleven million, one hundred thirty-one thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 50 61 100 122 229 244 305 458 610 916 1145 1220 1525 2290 3050 4580 5725 6100 11450 13969 22900 27938 55876 69845 139690 279380 349225 698450 1396900 15921119 31842238 63684476 79605595 159211190 318422380 398027975 796055950 971188259 1592111900 1942376518 3645936251 3884753036 4855941295 7291872502 9711882590 14583745004 18229681255 19423765180 24279706475 36459362510 48559412950 72918725020 91148406275 97118825900 182296812550 222402111311 364593625100 444804222622 889608445244 1112010556555 2224021113110 4448042226220 5560052782775 11120105565550 22240211131100