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2241414725 = 521117471012
BaseRepresentation
bin1000010110011001…
…0100011001000101
312210012121122222012
42011212110121011
514042300232400
61010225144005
7106354465544
oct20546243105
95705548865
102241414725
11a50247070
1252678b005
132994a2104
1417397c15b
15d1b9cd35
hex85994645

2241414725 has 72 divisors (see below), whose sum is σ = 3311466624. Its totient is φ = 1486720000.

The previous prime is 2241414709. The next prime is 2241414737. The reversal of 2241414725 is 5274141422.

It is not a de Polignac number, because 2241414725 - 24 = 2241414709 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2241414691 and 2241414700.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22192175 + ... + 22192275.

It is an arithmetic number, because the mean of its divisors is an integer number (45992592).

Almost surely, 22241414725 is an apocalyptic number.

2241414725 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2241414725 is a deficient number, since it is larger than the sum of its proper divisors (1070051899).

2241414725 is a wasteful number, since it uses less digits than its factorization.

2241414725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 287 (or 181 counting only the distinct ones).

The product of its digits is 17920, while the sum is 32.

The square root of 2241414725 is about 47343.5816663674. The cubic root of 2241414725 is about 1308.7019220154.

The spelling of 2241414725 in words is "two billion, two hundred forty-one million, four hundred fourteen thousand, seven hundred twenty-five".

Divisors: 1 5 11 17 25 47 55 85 101 187 235 275 425 505 517 799 935 1111 1175 1717 2525 2585 3995 4675 4747 5555 8585 8789 10201 12925 18887 19975 23735 27775 42925 43945 51005 52217 80699 94435 112211 118675 173417 219725 255025 261085 403495 472175 479447 561055 867085 887689 1305425 1907587 2017475 2397235 2805275 4335425 4438445 5273917 8150599 9537935 11986175 22192225 26369585 40752995 47689675 89656589 131847925 203764975 448282945 2241414725