Search a number
-
+
2205225234300 = 2235211668250071
BaseRepresentation
bin100000000101110001101…
…010101010111101111100
321210211001221022221101210
4200011301222222331330
5242112300124444200
64405022210004420
7315215352133224
oct40056152527574
97724057287353
102205225234300
1178025a177940
122b7479576710
1312cc4b29315a
1478a3a903084
153c56a049650
hex20171aaaf7c

2205225234300 has 72 divisors (see below), whose sum is σ = 6960492749952. Its totient is φ = 534600056000.

The previous prime is 2205225234287. The next prime is 2205225234347. The reversal of 2205225234300 is 34325225022.

2205225234300 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 334121736 + ... + 334128335.

It is an arithmetic number, because the mean of its divisors is an integer number (96673510416).

Almost surely, 22205225234300 is an apocalyptic number.

2205225234300 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2205225234300 is an abundant number, since it is smaller than the sum of its proper divisors (4755267515652).

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

2205225234300 is a wasteful number, since it uses less digits than its factorization.

2205225234300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 668250099 (or 668250092 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 30.

The spelling of 2205225234300 in words is "two trillion, two hundred five billion, two hundred twenty-five million, two hundred thirty-four thousand, three hundred".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 25 30 33 44 50 55 60 66 75 100 110 132 150 165 220 275 300 330 550 660 825 1100 1650 3300 668250071 1336500142 2004750213 2673000284 3341250355 4009500426 6682500710 7350750781 8019000852 10023751065 13365001420 14701501562 16706251775 20047502130 22052252343 29403003124 33412503550 36753753905 40095004260 44104504686 50118755325 66825007100 73507507810 88209009372 100237510650 110261261715 147015015620 183768769525 200475021300 220522523430 367537539050 441045046860 551306308575 735075078100 1102612617150 2205225234300