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2264242005 = 34512294549
BaseRepresentation
bin1000011011110101…
…1001011101010101
312211210120102010000
42012331121131111
514114121221010
61012402321513
7110052511434
oct20675313525
95753512100
102264242005
11a62118593
12532359299
132a113538c
14176a0111b
15d3bab7c0
hex86f59755

2264242005 has 40 divisors (see below), whose sum is σ = 4063059000. Its totient is φ = 1206347904.

The previous prime is 2264241943. The next prime is 2264242039. The reversal of 2264242005 is 5002424622.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1119705444 + 1144536561 = 33462^2 + 33831^2 .

It is not a de Polignac number, because 2264242005 - 216 = 2264176469 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 2264242005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 495471 + ... + 500019.

It is an arithmetic number, because the mean of its divisors is an integer number (101576475).

Almost surely, 22264242005 is an apocalyptic number.

It is an amenable number.

2264242005 is a deficient number, since it is larger than the sum of its proper divisors (1798816995).

2264242005 is a wasteful number, since it uses less digits than its factorization.

2264242005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5795 (or 5786 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 27.

The square root of 2264242005 is about 47584.0520027456. The cubic root of 2264242005 is about 1313.1296701132.

Adding to 2264242005 its reverse (5002424622), we get a palindrome (7266666627).

The spelling of 2264242005 in words is "two billion, two hundred sixty-four million, two hundred forty-two thousand, five".

Divisors: 1 3 5 9 15 27 45 81 135 405 1229 3687 4549 6145 11061 13647 18435 22745 33183 40941 55305 68235 99549 122823 165915 204705 368469 497745 614115 1842345 5590721 16772163 27953605 50316489 83860815 150949467 251582445 452848401 754747335 2264242005