Search a number
-
+
2282866242 = 232316542509
BaseRepresentation
bin1000100000010001…
…1100011001000010
312220002121121202120
42020010130121002
514133403204432
61014305425110
7110400020466
oct21004343102
95802547676
102282866242
11a71689218
1253863b196
132a4c56537
1417928c4a6
15d5639c2c
hex8811c642

2282866242 has 16 divisors (see below), whose sum is σ = 4764242880. Its totient is φ = 727870352.

The previous prime is 2282866241. The next prime is 2282866247. The reversal of 2282866242 is 2426682822.

It is a happy number.

It is a super-3 number, since 3×22828662423 (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a junction number, because it is equal to n+sod(n) for n = 2282866194 and 2282866203.

It is not an unprimeable number, because it can be changed into a prime (2282866241) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 8271117 + ... + 8271392.

It is an arithmetic number, because the mean of its divisors is an integer number (297765180).

Almost surely, 22282866242 is an apocalyptic number.

2282866242 is an abundant number, since it is smaller than the sum of its proper divisors (2481376638).

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

2282866242 is a wasteful number, since it uses less digits than its factorization.

2282866242 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16542537.

The product of its digits is 294912, while the sum is 42.

The square root of 2282866242 is about 47779.3495351287. The cubic root of 2282866242 is about 1316.7201711171.

The spelling of 2282866242 in words is "two billion, two hundred eighty-two million, eight hundred sixty-six thousand, two hundred forty-two".

Divisors: 1 2 3 6 23 46 69 138 16542509 33085018 49627527 99255054 380477707 760955414 1141433121 2282866242