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2245716319 = 71122651377
BaseRepresentation
bin1000010111011010…
…1110100101011111
312210111201012122111
42011312232211133
514044400410234
61010501254451
7106436162620
oct20566564537
95714635574
102245716319
11a52714a00
12528104427
1329a34a032
1417437ba47
15d224c664
hex85dae95f

2245716319 has 12 divisors (see below), whose sum is σ = 2821066192. Its totient is φ = 1749908160.

The previous prime is 2245716299. The next prime is 2245716349. The reversal of 2245716319 is 9136175422.

It is a happy number.

It is not a de Polignac number, because 2245716319 - 215 = 2245683551 is a prime.

It is a super-2 number, since 2×22457163192 = 10086483570845819522, which contains 22 as substring.

It is a hoax number, since the sum of its digits (40) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2245716349) 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 11 ways as a sum of consecutive naturals, for example, 1324842 + ... + 1326535.

Almost surely, 22245716319 is an apocalyptic number.

2245716319 is a deficient number, since it is larger than the sum of its proper divisors (575349873).

2245716319 is a wasteful number, since it uses less digits than its factorization.

2245716319 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2651406 (or 2651395 counting only the distinct ones).

The product of its digits is 90720, while the sum is 40.

The square root of 2245716319 is about 47388.9894279251. The cubic root of 2245716319 is about 1309.5385821292.

The spelling of 2245716319 in words is "two billion, two hundred forty-five million, seven hundred sixteen thousand, three hundred nineteen".

Divisors: 1 7 11 77 121 847 2651377 18559639 29165147 204156029 320816617 2245716319