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2321716416 = 263232811871
BaseRepresentation
bin1000101001100010…
…1001010011000000
312222210201102011220
42022120221103000
514223324411131
61022214235040
7111351156345
oct21230512300
95883642156
102321716416
11a916039a8
12549655a80
132b00098c6
141804c27cc
15d8c60e96
hex8a6294c0

2321716416 has 112 divisors (see below), whose sum is σ = 6436205568. Its totient is φ = 737228800.

The previous prime is 2321716399. The next prime is 2321716433. The reversal of 2321716416 is 6146171232.

It is an interprime number because it is at equal distance from previous prime (2321716399) and next prime (2321716433).

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 1239961 + ... + 1241831.

Almost surely, 22321716416 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 2321716416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3218102784).

2321716416 is an abundant number, since it is smaller than the sum of its proper divisors (4114489152).

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

2321716416 is a wasteful number, since it uses less digits than its factorization.

2321716416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2190 (or 2180 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 2321716416 is about 48184.1925946674. The cubic root of 2321716416 is about 1324.1475786489.

Adding to 2321716416 its reverse (6146171232), we get a palindrome (8467887648).

The spelling of 2321716416 in words is "two billion, three hundred twenty-one million, seven hundred sixteen thousand, four hundred sixteen".

Divisors: 1 2 3 4 6 8 12 16 23 24 32 46 48 64 69 92 96 138 184 192 276 281 368 552 562 736 843 1104 1124 1472 1686 1871 2208 2248 3372 3742 4416 4496 5613 6463 6744 7484 8992 11226 12926 13488 14968 17984 19389 22452 25852 26976 29936 38778 43033 44904 51704 53952 59872 77556 86066 89808 103408 119744 129099 155112 172132 179616 206816 258198 310224 344264 359232 413632 516396 525751 620448 688528 1032792 1051502 1240896 1377056 1577253 2065584 2103004 2754112 3154506 4131168 4206008 6309012 8262336 8412016 12092273 12618024 16824032 24184546 25236048 33648064 36276819 48369092 50472096 72553638 96738184 100944192 145107276 193476368 290214552 386952736 580429104 773905472 1160858208 2321716416