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2331440240 = 2451091671601
BaseRepresentation
bin1000101011110110…
…1111010001110000
320000111000102202112
42022331233101300
514233322041430
61023202504452
7111526625603
oct21275572160
96014012675
102331440240
11a97045618
12550965128
132b203284c
141818d433a
15d9a32195
hex8af6f470

2331440240 has 80 divisors (see below), whose sum is σ = 5506522560. Its totient is φ = 917913600.

The previous prime is 2331440213. The next prime is 2331440257. The reversal of 2331440240 is 420441332.

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

It is a super-2 number, since 2×23314402402 = 10871227185382515200, 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 (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1455440 + ... + 1457040.

It is an arithmetic number, because the mean of its divisors is an integer number (68831532).

Almost surely, 22331440240 is an apocalyptic number.

2331440240 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 2331440240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2753261280).

2331440240 is an abundant number, since it is smaller than the sum of its proper divisors (3175082320).

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

2331440240 is a wasteful number, since it uses less digits than its factorization.

2331440240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1890 (or 1884 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 23.

The square root of 2331440240 is about 48284.9898001439. The cubic root of 2331440240 is about 1325.9936043104.

Adding to 2331440240 its reverse (420441332), we get a palindrome (2751881572).

The spelling of 2331440240 in words is "two billion, three hundred thirty-one million, four hundred forty thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 16 20 40 80 109 167 218 334 436 545 668 835 872 1090 1336 1601 1670 1744 2180 2672 3202 3340 4360 6404 6680 8005 8720 12808 13360 16010 18203 25616 32020 36406 64040 72812 91015 128080 145624 174509 182030 267367 291248 349018 364060 534734 698036 728120 872545 1069468 1336835 1396072 1456240 1745090 2138936 2673670 2792144 3490180 4277872 5347340 6980360 10694680 13960720 21389360 29143003 58286006 116572012 145715015 233144024 291430030 466288048 582860060 1165720120 2331440240