Search a number
-
+
2142282348 = 2232427113933
BaseRepresentation
bin111111110110000…
…1010001001101100
312112022002012220200
41333230022021230
513341411013343
6552324313500
7104042046063
oct17754121154
95468065820
102142282348
119aa298488
124b9542890
13281aa34bb
141647351da
15c811a4d3
hex7fb0a26c

2142282348 has 36 divisors (see below), whose sum is σ = 5416870368. Its totient is φ = 713875680.

The previous prime is 2142282283. The next prime is 2142282383. The reversal of 2142282348 is 8432822412.

2142282348 is a `hidden beast` number, since 214 + 22 + 82 + 348 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 146790 + ... + 160722.

Almost surely, 22142282348 is an apocalyptic number.

It is an amenable number.

2142282348 is an abundant number, since it is smaller than the sum of its proper divisors (3274588020).

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

2142282348 is a wasteful number, since it uses less digits than its factorization.

2142282348 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18214 (or 18209 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 2142282348 is about 46284.7960781940. The cubic root of 2142282348 is about 1289.1167055826.

The spelling of 2142282348 in words is "two billion, one hundred forty-two million, two hundred eighty-two thousand, three hundred forty-eight".

Divisors: 1 2 3 4 6 9 12 18 36 4271 8542 12813 13933 17084 25626 27866 38439 41799 51252 55732 76878 83598 125397 153756 167196 250794 501588 59507843 119015686 178523529 238031372 357047058 535570587 714094116 1071141174 2142282348