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2311022320 = 245733071289
BaseRepresentation
bin1000100110111111…
…0110011011110000
312222001121002122021
42021233312123300
514213110203240
61021153121224
7111161236255
oct21157663360
95861532567
102311022320
11a8656a302
12545b59214
132aaa34139
1417ccdb42c
15d7d4c54a
hex89bf66f0

2311022320 has 80 divisors (see below), whose sum is σ = 5468712480. Its totient is φ = 908070912.

The previous prime is 2311022293. The next prime is 2311022387. The reversal of 2311022320 is 232201132.

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

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a junction number, because it is equal to n+sod(n) for n = 2311022294 and 2311022303.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1792236 + ... + 1793524.

It is an arithmetic number, because the mean of its divisors is an integer number (68358906).

Almost surely, 22311022320 is an apocalyptic number.

2311022320 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 2311022320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2734356240).

2311022320 is an abundant number, since it is smaller than the sum of its proper divisors (3157690160).

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

2311022320 is a wasteful number, since it uses less digits than its factorization.

2311022320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1682 (or 1676 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 16.

The square root of 2311022320 is about 48073.0935139398. The cubic root of 2311022320 is about 1322.1113898526. Note that the first 3 decimals are identical.

Adding to 2311022320 its reverse (232201132), we get a palindrome (2543223452).

The spelling of 2311022320 in words is "two billion, three hundred eleven million, twenty-two thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 40 73 80 146 292 307 365 584 614 730 1168 1228 1289 1460 1535 2456 2578 2920 3070 4912 5156 5840 6140 6445 10312 12280 12890 20624 22411 24560 25780 44822 51560 89644 94097 103120 112055 179288 188194 224110 358576 376388 395723 448220 470485 752776 791446 896440 940970 1505552 1582892 1792880 1881940 1978615 3165784 3763880 3957230 6331568 7527760 7914460 15828920 28887779 31657840 57775558 115551116 144438895 231102232 288877790 462204464 577755580 1155511160 2311022320