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2245523033 = 13613761
BaseRepresentation
bin1000010111010111…
…1111011001011001
312210111100101111202
42011311333121121
514044323214113
61010453203545
7106434426245
oct20565773131
95714311452
102245523033
11a525a2766
125280305b5
1329a2b0070
1417432b425
15d2210258
hex85d7f659

2245523033 has 16 divisors (see below), whose sum is σ = 2461790352. Its totient is φ = 2036131200.

The previous prime is 2245523011. The next prime is 2245523039. The reversal of 2245523033 is 3303255422.

It can be written as a sum of positive squares in 8 ways, for example, as 2061432409 + 184090624 = 45403^2 + 13568^2 .

It is not a de Polignac number, because 2245523033 - 214 = 2245506649 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 2245522987 and 2245523005.

It is not an unprimeable number, because it can be changed into a prime (2245523039) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2950373 + ... + 2951133.

It is an arithmetic number, because the mean of its divisors is an integer number (153861897).

Almost surely, 22245523033 is an apocalyptic number.

It is an amenable number.

2245523033 is a deficient number, since it is larger than the sum of its proper divisors (216267319).

2245523033 is an frugal number, since it uses more digits than its factorization.

2245523033 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 957 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

The square root of 2245523033 is about 47386.9500284625. The cubic root of 2245523033 is about 1309.5010109343.

Adding to 2245523033 its reverse (3303255422), we get a palindrome (5548778455).

The spelling of 2245523033 in words is "two billion, two hundred forty-five million, five hundred twenty-three thousand, thirty-three".

Divisors: 1 13 61 761 793 3721 9893 46421 48373 226981 603473 2831681 2950753 36811853 172732541 2245523033