Search a number
-
+
1445220000 = 25325473137
BaseRepresentation
bin101011000100100…
…0100111010100000
310201201102210010200
41112021010322200
510424434020000
6355224025200
750546111250
oct12611047240
93651383120
101445220000
116818751a4
12344002200
131a0552283
14d9d23960
1586d28500
hex56244ea0

1445220000 has 720 divisors, whose sum is σ = 6222408192. Its totient is φ = 311040000.

The previous prime is 1445219989. The next prime is 1445220001. The reversal of 1445220000 is 225441.

1445220000 is a `hidden beast` number, since 1 + 445 + 220 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (1445220001) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 39059982 + ... + 39060018.

Almost surely, 21445220000 is an apocalyptic number.

1445220000 is a gapful number since it is divisible by the number (10) 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 1445220000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3111204096).

1445220000 is an abundant number, since it is smaller than the sum of its proper divisors (4777188192).

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

1445220000 is a wasteful number, since it uses less digits than its factorization.

1445220000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 111 (or 85 counting only the distinct ones).

The product of its (nonzero) digits is 320, while the sum is 18.

The square root of 1445220000 is about 38016.0492423924. The cubic root of 1445220000 is about 1130.6060914380.

Adding to 1445220000 its reverse (225441), we get a palindrome (1445445441).

It can be divided in two parts, 1445 and 220000, that added together give a triangular number (221445 = T665).

The spelling of 1445220000 in words is "one billion, four hundred forty-five million, two hundred twenty thousand".