Search a number
-
+
2214294920 = 23555357373
BaseRepresentation
bin1000001111111011…
…0111010110001000
312201022120211120222
42003332313112020
514013324414140
61003420005212
7105605124215
oct20376672610
95638524528
102214294920
11a36a03602
12519690808
132939980a6
1417011cb0c
15ce5e25b5
hex83fb7588

2214294920 has 16 divisors (see below), whose sum is σ = 4982163660. Its totient is φ = 885717952.

The previous prime is 2214294883. The next prime is 2214294949. The reversal of 2214294920 is 294924122.

It can be written as a sum of positive squares in 2 ways, for example, as 2197171876 + 17123044 = 46874^2 + 4138^2 .

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 3 ways as a sum of consecutive naturals, for example, 27678647 + ... + 27678726.

Almost surely, 22214294920 is an apocalyptic number.

2214294920 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2214294920 is an abundant number, since it is smaller than the sum of its proper divisors (2767868740).

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

2214294920 is a wasteful number, since it uses less digits than its factorization.

2214294920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55357384 (or 55357380 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 35.

The square root of 2214294920 is about 47056.2952217873. The cubic root of 2214294920 is about 1303.4023146372.

The spelling of 2214294920 in words is "two billion, two hundred fourteen million, two hundred ninety-four thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 20 40 55357373 110714746 221429492 276786865 442858984 553573730 1107147460 2214294920