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2445221140 = 225417340849
BaseRepresentation
bin1001000110111111…
…0001110100010100
320022102010002210221
42101233301310110
520001434034030
61042345324124
7114411015415
oct22157616424
96272102727
102445221140
11104529991a
12582a96644
132cc78cb1b
14192a7180c
15e4a09e7a
hex91bf1d14

2445221140 has 48 divisors (see below), whose sum is σ = 5332395600. Its totient is φ = 941137920.

The previous prime is 2445221123. The next prime is 2445221147. The reversal of 2445221140 is 411225442.

2445221140 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 124679556 + 2320541584 = 11166^2 + 48172^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2445221147) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 39436 + ... + 80284.

It is an arithmetic number, because the mean of its divisors is an integer number (111091575).

Almost surely, 22445221140 is an apocalyptic number.

2445221140 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 2445221140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2666197800).

2445221140 is an abundant number, since it is smaller than the sum of its proper divisors (2887174460).

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

2445221140 is a wasteful number, since it uses less digits than its factorization.

2445221140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 40972 (or 40970 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 25.

The square root of 2445221140 is about 49449.1773440166. The cubic root of 2445221140 is about 1347.2226650914. Note that the first 3 decimals are identical.

Adding to 2445221140 its reverse (411225442), we get a palindrome (2856446582).

The spelling of 2445221140 in words is "two billion, four hundred forty-five million, two hundred twenty-one thousand, one hundred forty".

Divisors: 1 2 4 5 10 20 41 73 82 146 164 205 292 365 410 730 820 1460 2993 5986 11972 14965 29930 40849 59860 81698 163396 204245 408490 816980 1674809 2981977 3349618 5963954 6699236 8374045 11927908 14909885 16748090 29819770 33496180 59639540 122261057 244522114 489044228 611305285 1222610570 2445221140