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2240344050 = 2352719111171
BaseRepresentation
bin1000010110001000…
…1110111111110010
312210010121021021120
42011202032333302
514042012002200
61010150203110
7106342416210
oct20542167762
95703537246
102240344050
11a4a68570a
12526353496
132991b8989
1417377dcb0
15d1a3a9a0
hex8588eff2

2240344050 has 96 divisors (see below), whose sum is σ = 6383591424. Its totient is φ = 509352000.

The previous prime is 2240344027. The next prime is 2240344061. The reversal of 2240344050 is 504430422.

It is a self number, because there is not a number n which added to its sum of digits gives 2240344050.

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 47 ways as a sum of consecutive naturals, for example, 194965 + ... + 206135.

It is an arithmetic number, because the mean of its divisors is an integer number (66495744).

Almost surely, 22240344050 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2240344050, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3191795712).

2240344050 is an abundant number, since it is smaller than the sum of its proper divisors (4143247374).

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

2240344050 is a wasteful number, since it uses less digits than its factorization.

2240344050 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11384 (or 11379 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 24.

The square root of 2240344050 is about 47332.2728167579. The cubic root of 2240344050 is about 1308.4935093582.

Adding to 2240344050 its reverse (504430422), we get a palindrome (2744774472).

The spelling of 2240344050 in words is "two billion, two hundred forty million, three hundred forty-four thousand, fifty".

Divisors: 1 2 3 5 6 7 10 14 15 21 25 30 35 42 50 70 75 105 150 175 191 210 350 382 525 573 955 1050 1146 1337 1910 2674 2865 4011 4775 5730 6685 8022 9550 11171 13370 14325 20055 22342 28650 33425 33513 40110 55855 66850 67026 78197 100275 111710 156394 167565 200550 234591 279275 335130 390985 469182 558550 781970 837825 1172955 1675650 1954925 2133661 2345910 3909850 4267322 5864775 6400983 10668305 11729550 12801966 14935627 21336610 29871254 32004915 44806881 53341525 64009830 74678135 89613762 106683050 149356270 160024575 224034405 320049150 373390675 448068810 746781350 1120172025 2240344050