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2240046240 = 25358535471
BaseRepresentation
bin1000010110000100…
…0110010010100000
312210010001010202120
42011201012102200
514041422434430
61010135544240
7106340036025
oct20541062240
95703033676
102240046240
11a4a4a1993
1252622b080
13299113263
1417370354c
15d19cc610
hex858464a0

2240046240 has 96 divisors (see below), whose sum is σ = 7065709056. Its totient is φ = 596536320.

The previous prime is 2240046227. The next prime is 2240046241. The reversal of 2240046240 is 426400422.

It is a tau number, because it is divible by the number of its divisors (96).

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

It is a self number, because there is not a number n which added to its sum of digits gives 2240046240.

It is not an unprimeable number, because it can be changed into a prime (2240046241) 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, 406705 + ... + 412175.

It is an arithmetic number, because the mean of its divisors is an integer number (73601136).

Almost surely, 22240046240 is an apocalyptic number.

2240046240 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 2240046240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3532854528).

2240046240 is an abundant number, since it is smaller than the sum of its proper divisors (4825662816).

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

2240046240 is a wasteful number, since it uses less digits than its factorization.

2240046240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6342 (or 6334 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 24.

The square root of 2240046240 is about 47329.1267614352. The cubic root of 2240046240 is about 1308.4355272341.

Adding to 2240046240 its reverse (426400422), we get a palindrome (2666446662).

The spelling of 2240046240 in words is "two billion, two hundred forty million, forty-six thousand, two hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 80 96 120 160 240 480 853 1706 2559 3412 4265 5118 5471 6824 8530 10236 10942 12795 13648 16413 17060 20472 21884 25590 27296 27355 32826 34120 40944 43768 51180 54710 65652 68240 81888 82065 87536 102360 109420 131304 136480 164130 175072 204720 218840 262608 328260 409440 437680 525216 656520 875360 1313040 2626080 4666763 9333526 14000289 18667052 23333815 28000578 37334104 46667630 56001156 70001445 74668208 93335260 112002312 140002890 149336416 186670520 224004624 280005780 373341040 448009248 560011560 746682080 1120023120 2240046240