Search a number
-
+
22004253121120 = 255235979416609
BaseRepresentation
bin1010000000011010000111…
…01100001101101001100000
32212220120211020022021222021
411000031003230031221200
510341004202244333440
6114444340410151224
74430516622324664
oct500150354155140
985816736267867
1022004253121120
117013a51267756
1225746a3a22514
13c37cb8a32a0a
145610239108a4
152825ab43784a
hex140343b0da60

22004253121120 has 48 divisors (see below), whose sum is σ = 54245267485920. Its totient is φ = 8419018584064.

The previous prime is 22004253121049. The next prime is 22004253121157. The reversal of 22004253121120 is 2112135240022.

It is a super-2 number, since 2×220042531211202 (a number of 27 digits) contains 22 as substring.

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 7 ways as a sum of consecutive naturals, for example, 2989704625 + ... + 2989711984.

It is an arithmetic number, because the mean of its divisors is an integer number (1130109739290).

Almost surely, 222004253121120 is an apocalyptic number.

22004253121120 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22004253121120 is an abundant number, since it is smaller than the sum of its proper divisors (32241014364800).

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

22004253121120 is a wasteful number, since it uses less digits than its factorization.

22004253121120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5979416647 (or 5979416639 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 22004253121120 its reverse (2112135240022), we get a palindrome (24116388361142).

The spelling of 22004253121120 in words is "twenty-two trillion, four billion, two hundred fifty-three million, one hundred twenty-one thousand, one hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 23 32 40 46 80 92 115 160 184 230 368 460 736 920 1840 3680 5979416609 11958833218 23917666436 29897083045 47835332872 59794166090 95670665744 119588332180 137526582007 191341331488 239176664360 275053164014 478353328720 550106328028 687632910035 956706657440 1100212656056 1375265820070 2200425312112 2750531640140 4400850624224 5501063280280 11002126560560 22004253121120