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1445213220 = 2235116135897
BaseRepresentation
bin101011000100100…
…0011010000100100
310201201102102211120
41112021003100210
510424433310340
6355223533540
750546052423
oct12611032044
93651372746
101445213220
116818700a0
12343bba2b0
131a054c169
14d9d212ba
1586d264d0
hex56243424

1445213220 has 96 divisors (see below), whose sum is σ = 4486962816. Its totient is φ = 344601600.

The previous prime is 1445213219. The next prime is 1445213227. The reversal of 1445213220 is 223125441.

It is not an unprimeable number, because it can be changed into a prime (1445213227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 22312 + ... + 58208.

It is an arithmetic number, because the mean of its divisors is an integer number (46739196).

Almost surely, 21445213220 is an apocalyptic number.

1445213220 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 1445213220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2243481408).

1445213220 is an abundant number, since it is smaller than the sum of its proper divisors (3041749596).

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

1445213220 is a wasteful number, since it uses less digits than its factorization.

1445213220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35981 (or 35979 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 24.

The square root of 1445213220 is about 38015.9600694235. The cubic root of 1445213220 is about 1130.6043234209.

Adding to 1445213220 its reverse (223125441), we get a palindrome (1668338661).

It can be divided in two parts, 144521 and 3220, that added together give a palindrome (147741).

The spelling of 1445213220 in words is "one billion, four hundred forty-five million, two hundred thirteen thousand, two hundred twenty".

Divisors: 1 2 3 4 5 6 10 11 12 15 20 22 30 33 44 55 60 61 66 110 122 132 165 183 220 244 305 330 366 610 660 671 732 915 1220 1342 1830 2013 2684 3355 3660 4026 6710 8052 10065 13420 20130 35897 40260 71794 107691 143588 179485 215382 358970 394867 430764 538455 717940 789734 1076910 1184601 1579468 1974335 2153820 2189717 2369202 3948670 4379434 4738404 5923005 6569151 7897340 8758868 10948585 11846010 13138302 21897170 23692020 24086887 26276604 32845755 43794340 48173774 65691510 72260661 96347548 120434435 131383020 144521322 240868870 289042644 361303305 481737740 722606610 1445213220