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2145000258 = 233792112383
BaseRepresentation
bin111111111011010…
…0001101101000010
312112111012022012000
41333312201231002
513343110002013
6552502444430
7104104126032
oct17766415502
95474168160
102145000258
11a00884495
124ba433716
1328251562b
14164c418c2
15c84a5973
hex7fda1b42

2145000258 has 64 divisors (see below), whose sum is σ = 4851916800. Its totient is φ = 702308880.

The previous prime is 2145000197. The next prime is 2145000281. The reversal of 2145000258 is 8520005412.

It is a happy number.

It is a super-2 number, since 2×21450002582 = 9202052213640133128, which contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 898935 + ... + 901317.

It is an arithmetic number, because the mean of its divisors is an integer number (75811200).

Almost surely, 22145000258 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2145000258, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2425958400).

2145000258 is an abundant number, since it is smaller than the sum of its proper divisors (2706916542).

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

2145000258 is a wasteful number, since it uses less digits than its factorization.

2145000258 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2684 (or 2678 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 27.

The square root of 2145000258 is about 46314.1474929637. The cubic root of 2145000258 is about 1289.6616419240.

The spelling of 2145000258 in words is "two billion, one hundred forty-five million, two hundred fifty-eight", and thus it is an aban number.

Divisors: 1 2 3 6 9 18 27 54 79 158 211 237 422 474 633 711 1266 1422 1899 2133 2383 3798 4266 4766 5697 7149 11394 14298 16669 21447 33338 42894 50007 64341 100014 128682 150021 188257 300042 376514 450063 502813 564771 900126 1005626 1129542 1508439 1694313 3016878 3388626 4525317 5082939 9050634 10165878 13575951 27151902 39722227 79444454 119166681 238333362 357500043 715000086 1072500129 2145000258