Search a number
-
+
2264914208 = 254721792
BaseRepresentation
bin1000011011111111…
…1101100100100000
312211211211120012102
42012333331210200
514114304223313
61012424545532
7110061311264
oct20677754440
95754746172
102264914208
11a62537627
125326222a8
132a130c32b
14176b380a4
15d3c90a58
hex86ffd920

2264914208 has 54 divisors (see below), whose sum is σ = 4581536211. Its totient is φ = 1102170304.

The previous prime is 2264914153. The next prime is 2264914229. The reversal of 2264914208 is 8024194622.

It is a happy number.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in only one way, i.e., 1132457104 + 1132457104 = 33652^2 + 33652^2 .

It is an ABA number since it can be written as A⋅BA, here for A=2, B=33652.

It is a Duffinian number.

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 8 ways as a sum of consecutive naturals, for example, 12653063 + ... + 12653241.

Almost surely, 22264914208 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2264914208

2264914208 is an abundant number, since it is smaller than the sum of its proper divisors (2316622003).

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

2264914208 is an frugal number, since it uses more digits than its factorization.

2264914208 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 462 (or 228 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 38.

The square root of 2264914208 is about 47591.1148009794. The cubic root of 2264914208 is about 1313.2596035693.

The spelling of 2264914208 in words is "two billion, two hundred sixty-four million, nine hundred fourteen thousand, two hundred eight".

Divisors: 1 2 4 8 16 32 47 94 179 188 358 376 716 752 1432 1504 2209 2864 4418 5728 8413 8836 16826 17672 32041 33652 35344 64082 67304 70688 128164 134608 256328 269216 395411 512656 790822 1025312 1505927 1581644 3011854 3163288 6023708 6326576 12047416 12653152 24094832 48189664 70778569 141557138 283114276 566228552 1132457104 2264914208