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2240221440 = 2835583391
BaseRepresentation
bin1000010110000111…
…0001000100000000
312210010101001002110
42011201301010000
514041444041230
61010143415320
7106341365562
oct20541610400
95703331073
102240221440
11a4a601586
125262b4540
13299174c22
1417374b332
15d1a144b0
hex85871100

2240221440 has 72 divisors (see below), whose sum is σ = 7154719488. Its totient is φ = 597391360.

The previous prime is 2240221421. The next prime is 2240221457. The reversal of 2240221440 is 441220422.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 287856 + ... + 295535.

It is an arithmetic number, because the mean of its divisors is an integer number (99371104).

Almost surely, 22240221440 is an apocalyptic number.

2240221440 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2240221440 is an abundant number, since it is smaller than the sum of its proper divisors (4914498048).

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

2240221440 is an equidigital number, since it uses as much as digits as its factorization.

2240221440 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 583415 (or 583401 counting only the distinct ones).

The product of its (nonzero) digits is 1024, while the sum is 21.

The square root of 2240221440 is about 47330.9775939606. The cubic root of 2240221440 is about 1308.4696384240.

Adding to 2240221440 its reverse (441220422), we get a palindrome (2681441862).

The spelling of 2240221440 in words is "two billion, two hundred forty million, two hundred twenty-one thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 30 32 40 48 60 64 80 96 120 128 160 192 240 256 320 384 480 640 768 960 1280 1920 3840 583391 1166782 1750173 2333564 2916955 3500346 4667128 5833910 7000692 8750865 9334256 11667820 14001384 17501730 18668512 23335640 28002768 35003460 37337024 46671280 56005536 70006920 74674048 93342560 112011072 140013840 149348096 186685120 224022144 280027680 373370240 448044288 560055360 746740480 1120110720 2240221440