Search a number
-
+
2148208344 = 23339945409
BaseRepresentation
bin1000000000001011…
…0000111011011000
312112201020021212000
42000002300323120
513344420131334
6553055321000
7104143320042
oct20002607330
95481207760
102148208344
11a026757a7
124bb520160
132830998c9
14165438a92
15c88db299
hex800b0ed8

2148208344 has 32 divisors (see below), whose sum is σ = 5967246000. Its totient is φ = 716069376.

The previous prime is 2148208331. The next prime is 2148208393. The reversal of 2148208344 is 4438028412.

It is a super-2 number, since 2×21482083442 = 9229598178462444672, which contains 22 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 2148208299 and 2148208308.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 4972489 + ... + 4972920.

Almost surely, 22148208344 is an apocalyptic number.

2148208344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2148208344 is an abundant number, since it is smaller than the sum of its proper divisors (3819037656).

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

2148208344 is a wasteful number, since it uses less digits than its factorization.

2148208344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9945424 (or 9945414 counting only the distinct ones).

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

The square root of 2148208344 is about 46348.7685273298. The cubic root of 2148208344 is about 1290.3042657085.

The spelling of 2148208344 in words is "two billion, one hundred forty-eight million, two hundred eight thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 108 216 9945409 19890818 29836227 39781636 59672454 79563272 89508681 119344908 179017362 238689816 268526043 358034724 537052086 716069448 1074104172 2148208344