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2169311232 = 21231121459
BaseRepresentation
bin1000000101001101…
…0001000000000000
312121011221102120110
42001103101000000
513420320424412
6555131511320
7104520561354
oct20123210000
95534842513
102169311232
11a13579700
125065b8540
1328757801a
1416816d464
15ca6a8d3c
hex814d1000

2169311232 has 156 divisors (see below), whose sum is σ = 6362113520. Its totient is φ = 656916480.

The previous prime is 2169311173. The next prime is 2169311239. The reversal of 2169311232 is 2321139612.

It is a super-2 number, since 2×21693112322 = 9411822442562715648, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 2169311232.

It is not an unprimeable number, because it can be changed into a prime (2169311239) 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 11 ways as a sum of consecutive naturals, for example, 1486119 + ... + 1487577.

Almost surely, 22169311232 is an apocalyptic number.

2169311232 is a gapful number since it is divisible by the number (22) 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 2169311232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3181056760).

2169311232 is an abundant number, since it is smaller than the sum of its proper divisors (4192802288).

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

2169311232 is a wasteful number, since it uses less digits than its factorization.

2169311232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1508 (or 1475 counting only the distinct ones).

The product of its digits is 3888, while the sum is 30.

The square root of 2169311232 is about 46575.8653381770. The cubic root of 2169311232 is about 1294.5155996527.

The spelling of 2169311232 in words is "two billion, one hundred sixty-nine million, three hundred eleven thousand, two hundred thirty-two".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 121 128 132 176 192 242 256 264 352 363 384 484 512 528 704 726 768 968 1024 1056 1408 1452 1459 1536 1936 2048 2112 2816 2904 2918 3072 3872 4096 4224 4377 5632 5808 5836 6144 7744 8448 8754 11264 11616 11672 12288 15488 16049 16896 17508 22528 23232 23344 30976 32098 33792 35016 45056 46464 46688 48147 61952 64196 67584 70032 92928 93376 96294 123904 128392 135168 140064 176539 185856 186752 192588 247808 256784 280128 353078 371712 373504 385176 495616 513568 529617 560256 706156 743424 747008 770352 1027136 1059234 1120512 1412312 1486848 1494016 1540704 2054272 2118468 2241024 2824624 2988032 3081408 4108544 4236936 4482048 5649248 5976064 6162816 8217088 8473872 8964096 11298496 12325632 16434176 16947744 17928192 22596992 24651264 32868352 33895488 45193984 49302528 65736704 67790976 90387968 98605056 135581952 180775936 197210112 271163904 361551872 542327808 723103744 1084655616 2169311232