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2240246640 = 243519148871
BaseRepresentation
bin1000010110000111…
…0111001101110000
312210010102022122210
42011201313031300
514042000343030
61010144132120
7106341532212
oct20541671560
95703368583
102240246640
11a4a619505
12526307040
13299183538
141737565b2
15d1a1bbb0
hex85877370

2240246640 has 80 divisors (see below), whose sum is σ = 6981267456. Its totient is φ = 594259200.

The previous prime is 2240246633. The next prime is 2240246647. The reversal of 2240246640 is 466420422.

It is an interprime number because it is at equal distance from previous prime (2240246633) and next prime (2240246647).

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 (30).

It is a junction number, because it is equal to n+sod(n) for n = 2240246598 and 2240246607.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2240246647) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21405 + ... + 70275.

Almost surely, 22240246640 is an apocalyptic number.

2240246640 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 2240246640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3490633728).

2240246640 is an abundant number, since it is smaller than the sum of its proper divisors (4741020816).

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

2240246640 is a wasteful number, since it uses less digits than its factorization.

2240246640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 49078 (or 49072 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 30.

The square root of 2240246640 is about 47331.2438036441. The cubic root of 2240246640 is about 1308.4745446817.

The spelling of 2240246640 in words is "two billion, two hundred forty million, two hundred forty-six thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 40 48 60 80 120 191 240 382 573 764 955 1146 1528 1910 2292 2865 3056 3820 4584 5730 7640 9168 11460 15280 22920 45840 48871 97742 146613 195484 244355 293226 390968 488710 586452 733065 781936 977420 1172904 1466130 1954840 2345808 2932260 3909680 5864520 9334361 11729040 18668722 28003083 37337444 46671805 56006166 74674888 93343610 112012332 140015415 149349776 186687220 224024664 280030830 373374440 448049328 560061660 746748880 1120123320 2240246640