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2331320208 = 243729673571
BaseRepresentation
bin1000101011110101…
…0001111110010000
320000110210100002220
42022331101332100
514233304221313
61023200141040
7111525615630
oct21275217620
96013710086
102331320208
11a96a73418
12550907780
132b1cc0019
141818a26c0
15d9a0b823
hex8af51f90

2331320208 has 160 divisors (see below), whose sum is σ = 7228584960. Its totient is φ = 633346560.

The previous prime is 2331320183. The next prime is 2331320267. The reversal of 2331320208 is 8020231332.

2331320208 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 651063 + ... + 654633.

It is an arithmetic number, because the mean of its divisors is an integer number (45178656).

Almost surely, 22331320208 is an apocalyptic number.

2331320208 is a gapful number since it is divisible by the number (28) 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 2331320208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3614292480).

2331320208 is an abundant number, since it is smaller than the sum of its proper divisors (4897264752).

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

2331320208 is a wasteful number, since it uses less digits than its factorization.

2331320208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3685 (or 3679 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 2331320208 is about 48283.7468305847. The cubic root of 2331320208 is about 1325.9708480768.

The spelling of 2331320208 in words is "two billion, three hundred thirty-one million, three hundred twenty thousand, two hundred eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 29 42 48 56 58 67 84 87 112 116 134 168 174 201 203 232 268 336 348 402 406 464 469 536 609 696 804 812 938 1072 1218 1392 1407 1608 1624 1876 1943 2436 2814 3216 3248 3571 3752 3886 4872 5628 5829 7142 7504 7772 9744 10713 11256 11658 13601 14284 15544 21426 22512 23316 24997 27202 28568 31088 40803 42852 46632 49994 54404 57136 74991 81606 85704 93264 99988 103559 108808 149982 163212 171408 199976 207118 217616 239257 299964 310677 326424 399952 414236 478514 599928 621354 652848 717771 724913 828472 957028 1199856 1242708 1435542 1449826 1656944 1674799 1914056 2174739 2485416 2871084 2899652 3349598 3828112 4349478 4970832 5024397 5742168 5799304 6699196 6938453 8698956 10048794 11484336 11598608 13398392 13876906 17397912 20097588 20815359 26796784 27753812 34795824 40195176 41630718 48569171 55507624 80390352 83261436 97138342 111015248 145707513 166522872 194276684 291415026 333045744 388553368 582830052 777106736 1165660104 2331320208