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2240316225 = 34527158047
BaseRepresentation
bin1000010110001000…
…1000001101000001
312210010112212010000
42011202020031001
514042010104400
61010145430213
7106342242120
oct20542101501
95703485100
102240316225
11a4a666814
1252633b369
132991a9104
14173773ab7
15d1a32600
hex85888341

2240316225 has 60 divisors (see below), whose sum is σ = 4742704384. Its totient is φ = 1024138080.

The previous prime is 2240316223. The next prime is 2240316233. The reversal of 2240316225 is 5226130422.

It is a happy number.

2240316225 is a `hidden beast` number, since 2 + 2 + 4 + 0 + 31 + 622 + 5 = 666.

It is not a de Polignac number, because 2240316225 - 21 = 2240316223 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (2240316223) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 64849 + ... + 93198.

Almost surely, 22240316225 is an apocalyptic number.

2240316225 is a gapful number since it is divisible by the number (25) formed by its first and last digit.

It is an amenable number.

2240316225 is an abundant number, since it is smaller than the sum of its proper divisors (2502388159).

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

2240316225 is a wasteful number, since it uses less digits than its factorization.

2240316225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 158076 (or 158062 counting only the distinct ones).

The product of its (nonzero) digits is 5760, while the sum is 27.

The square root of 2240316225 is about 47331.9788832033. The cubic root of 2240316225 is about 1308.4880921869.

Adding to 2240316225 its reverse (5226130422), we get a palindrome (7466446647).

The spelling of 2240316225 in words is "two billion, two hundred forty million, three hundred sixteen thousand, two hundred twenty-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 135 175 189 225 315 405 525 567 675 945 1575 2025 2835 4725 14175 158047 474141 790235 1106329 1422423 2370705 3318987 3951175 4267269 5531645 7112115 9956961 11853525 12801807 16594935 21336345 27658225 29870883 35560575 49784805 64009035 82974675 89612649 106681725 149354415 248924025 320045175 448063245 746772075 2240316225