Search a number
-
+
22035352414000 = 245392507119101
BaseRepresentation
bin1010000001010100000010…
…10110100110011100110000
32220000120002121010001200111
411000222001112212130300
510342011400204222000
6114510522352031104
74433000401053232
oct500520126463460
986016077101614
1022035352414000
11702615aa827a2
12257a722b32494
13c3ac03a8b973
14562733d52252
152832cb807cba
hex140a815a6730

22035352414000 has 80 divisors (see below), whose sum is σ = 53282505478176. Its totient is φ = 8813971680000.

The previous prime is 22035352413989. The next prime is 22035352414003. The reversal of 22035352414000 is 41425353022.

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

It is not an unprimeable number, because it can be changed into a prime (22035352414003) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 184954450 + ... + 185073550.

Almost surely, 222035352414000 is an apocalyptic number.

22035352414000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

22035352414000 is an abundant number, since it is smaller than the sum of its proper divisors (31247153064176).

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

22035352414000 is a wasteful number, since it uses less digits than its factorization.

22035352414000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 211631 (or 211615 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 31.

Adding to 22035352414000 its reverse (41425353022), we get a palindrome (22076777767022).

The spelling of 22035352414000 in words is "twenty-two trillion, thirty-five billion, three hundred fifty-two million, four hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 125 200 250 400 500 1000 2000 92507 119101 185014 238202 370028 462535 476404 595505 740056 925070 952808 1191010 1480112 1850140 1905616 2312675 2382020 2977525 3700280 4625350 4764040 5955050 7400560 9250700 9528080 11563375 11910100 14887625 18501400 23126750 23820200 29775250 37002800 46253500 47640400 59550500 92507000 119101000 185014000 238202000 11017676207 22035352414 44070704828 55088381035 88141409656 110176762070 176282819312 220353524140 275441905175 440707048280 550883810350 881414096560 1101767620700 1377209525875 2203535241400 2754419051750 4407070482800 5508838103500 11017676207000 22035352414000