Search a number
-
+
2245554300000 = 2535511261861
BaseRepresentation
bin100000101011010101011…
…101110110010001100000
321221200011112120202011210
4200223111131312101200
5243242343400100000
64435332101510120
7321143633421234
oct40532535662140
97850145522153
102245554300000
11796374951900
12303253712340
131339a757c13b
147a984a8c5c4
153d62a882350
hex20ad5776460

2245554300000 has 432 divisors, whose sum is σ = 8098570689552. Its totient is φ = 544368000000.

The previous prime is 2245554299981. The next prime is 2245554300053. The reversal of 2245554300000 is 34555422.

It is a super-2 number, since 2×22455543000002 (a number of 26 digits) contains 22 as substring.

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 pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 36269070 + ... + 36330930.

It is an arithmetic number, because the mean of its divisors is an integer number (18746691411).

Almost surely, 22245554300000 is an apocalyptic number.

2245554300000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2245554300000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4049285344776).

2245554300000 is an abundant number, since it is smaller than the sum of its proper divisors (5853016389552).

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

2245554300000 is an equidigital number, since it uses as much as digits as its factorization.

2245554300000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 61921 (or 61882 counting only the distinct ones).

The product of its (nonzero) digits is 24000, while the sum is 30.

Adding to 2245554300000 its reverse (34555422), we get a palindrome (2245588855422).

The spelling of 2245554300000 in words is "two trillion, two hundred forty-five billion, five hundred fifty-four million, three hundred thousand".