Search a number
-
+
2182823936 = 214172461
BaseRepresentation
bin1000001000011011…
…0100000000000000
312122010100221111222
42002012310000000
513432300331221
61000333254212
7105043461116
oct20206640000
95563327458
102182823936
11a20168a27
1250b034368
1328a2c96c7
14169c89ab6
15cb9779ab
hex821b4000

2182823936 has 90 divisors (see below), whose sum is σ = 4647474678. Its totient is φ = 1024983040.

The previous prime is 2182823933. The next prime is 2182823941. The reversal of 2182823936 is 6393282812.

It can be written as a sum of positive squares in 3 ways, for example, as 688537600 + 1494286336 = 26240^2 + 38656^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2182823933) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4734746 + ... + 4735206.

Almost surely, 22182823936 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2182823936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2323737339).

2182823936 is an abundant number, since it is smaller than the sum of its proper divisors (2464650742).

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

2182823936 is an frugal number, since it uses more digits than its factorization.

2182823936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 480 counting only the distinct ones).

The product of its digits is 248832, while the sum is 44.

The square root of 2182823936 is about 46720.7013645985. The cubic root of 2182823936 is about 1297.1978966563.

The spelling of 2182823936 in words is "two billion, one hundred eighty-two million, eight hundred twenty-three thousand, nine hundred thirty-six".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 289 461 512 544 578 922 1024 1088 1156 1844 2048 2176 2312 3688 4096 4352 4624 7376 7837 8192 8704 9248 14752 15674 16384 17408 18496 29504 31348 34816 36992 59008 62696 69632 73984 118016 125392 133229 139264 147968 236032 250784 266458 278528 295936 472064 501568 532916 591872 944128 1003136 1065832 1183744 1888256 2006272 2131664 2367488 3776512 4012544 4263328 4734976 7553024 8025088 8526656 16050176 17053312 32100352 34106624 64200704 68213248 128401408 136426496 272852992 545705984 1091411968 2182823936