Search a number
-
+
1922772816 = 24341483621
BaseRepresentation
bin111001010011011…
…0010111101010000
311222000000222110000
41302212302331100
512414212212231
6514443410000
765435204436
oct16246627520
94860028400
101922772816
118a739a748
12457b23900
132484780c3
14143514d56
15b3c0a6e6
hex729b2f50

1922772816 has 50 divisors (see below), whose sum is σ = 5565066122. Its totient is φ = 640923840.

The previous prime is 1922772779. The next prime is 1922772823. The reversal of 1922772816 is 6182772291.

It is a happy number.

1922772816 is digitally balanced in base 4, 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 only one way, i.e., 1913187600 + 9585216 = 43740^2 + 3096^2 .

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a zygodrome in base 3.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 740515 + ... + 743106.

Almost surely, 21922772816 is an apocalyptic number.

1922772816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1922772816 is an abundant number, since it is smaller than the sum of its proper divisors (3642293306).

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

1922772816 is a wasteful number, since it uses less digits than its factorization.

1922772816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1483641 (or 1483626 counting only the distinct ones).

The product of its digits is 169344, while the sum is 45.

The square root of 1922772816 is about 43849.4334741055. The cubic root of 1922772816 is about 1243.4910329209.

The spelling of 1922772816 in words is "one billion, nine hundred twenty-two million, seven hundred seventy-two thousand, eight hundred sixteen".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 36 48 54 72 81 108 144 162 216 324 432 648 1296 1483621 2967242 4450863 5934484 8901726 11868968 13352589 17803452 23737936 26705178 35606904 40057767 53410356 71213808 80115534 106820712 120173301 160231068 213641424 240346602 320462136 480693204 640924272 961386408 1922772816