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2321849680 = 24541739697
BaseRepresentation
bin1000101001100100…
…1001110101010000
312222210222011222121
42022121021311100
514223343142210
61022221144024
7111352253023
oct21231116520
95883864877
102321849680
11a91695037
125496bb014
132b0055467
141805191ba
15d8c8a6da
hex8a649d50

2321849680 has 80 divisors (see below), whose sum is σ = 5606297424. Its totient is φ = 893583360.

The previous prime is 2321849669. The next prime is 2321849693. The reversal of 2321849680 is 869481232.

It can be written as a sum of positive squares in 8 ways, for example, as 595945744 + 1725903936 = 24412^2 + 41544^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×23218496802 = 10781971873032204800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 234592 + ... + 244288.

Almost surely, 22321849680 is an apocalyptic number.

2321849680 is a gapful number since it is divisible by the number (20) 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 2321849680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2803148712).

2321849680 is an abundant number, since it is smaller than the sum of its proper divisors (3284447744).

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

2321849680 is a wasteful number, since it uses less digits than its factorization.

2321849680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9824 (or 9818 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 43.

The square root of 2321849680 is about 48185.5754349785. The cubic root of 2321849680 is about 1324.1729130417.

The spelling of 2321849680 in words is "two billion, three hundred twenty-one million, eight hundred forty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 40 41 73 80 82 146 164 205 292 328 365 410 584 656 730 820 1168 1460 1640 2920 2993 3280 5840 5986 9697 11972 14965 19394 23944 29930 38788 47888 48485 59860 77576 96970 119720 155152 193940 239440 387880 397577 707881 775760 795154 1415762 1590308 1987885 2831524 3180616 3539405 3975770 5663048 6361232 7078810 7951540 11326096 14157620 15903080 28315240 29023121 31806160 56630480 58046242 116092484 145115605 232184968 290231210 464369936 580462420 1160924840 2321849680