Search a number
-
+
2344374125200 = 24525860935313
BaseRepresentation
bin100010000111010111100…
…101100100001010010000
322022010020110111222221201
4202013113211210022100
5301402234234001300
64552553545400544
7331242530162002
oct42072745441220
98263213458851
102344374125200
11824275092128
1231a432199154
131400c57190a3
148167b0a0372
1540eb119a66a
hex221d7964290

2344374125200 has 30 divisors (see below), whose sum is σ = 5632358836754. Its totient is φ = 937749649920.

The previous prime is 2344374125189. The next prime is 2344374125201. The reversal of 2344374125200 is 25214734432.

It can be written as a sum of positive squares in 3 ways, for example, as 538339168656 + 1806034956544 = 733716^2 + 1343888^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 2344374125200.

It is not an unprimeable number, because it can be changed into a prime (2344374125201) 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 5 ways as a sum of consecutive naturals, for example, 2930467257 + ... + 2930468056.

Almost surely, 22344374125200 is an apocalyptic number.

2344374125200 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2344374125200 is an abundant number, since it is smaller than the sum of its proper divisors (3287984711554).

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

2344374125200 is a wasteful number, since it uses less digits than its factorization.

2344374125200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5860935331 (or 5860935320 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 37.

Adding to 2344374125200 its reverse (25214734432), we get a palindrome (2369588859632).

The spelling of 2344374125200 in words is "two trillion, three hundred forty-four billion, three hundred seventy-four million, one hundred twenty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 40 50 80 100 200 400 5860935313 11721870626 23443741252 29304676565 46887482504 58609353130 93774965008 117218706260 146523382825 234437412520 293046765650 468874825040 586093531300 1172187062600 2344374125200