Search a number
-
+
2268481344 = 26311815007
BaseRepresentation
bin1000011100110110…
…0100011101000000
312212002112210101120
42013031210131000
514121212400334
61013033232240
7110133526143
oct20715443500
95762483346
102268481344
11a64553678
12533862680
132a1c8ab6c
141773c605a
15d4247949
hex87364740

2268481344 has 28 divisors (see below), whose sum is σ = 6002024064. Its totient is φ = 756160384.

The previous prime is 2268481339. The next prime is 2268481349. The reversal of 2268481344 is 4431848622.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (2268481339) and next prime (2268481349).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 2268481296 and 2268481305.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2268481349) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5907312 + ... + 5907695.

Almost surely, 22268481344 is an apocalyptic number.

2268481344 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2268481344 is an abundant number, since it is smaller than the sum of its proper divisors (3733542720).

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

2268481344 is a wasteful number, since it uses less digits than its factorization.

2268481344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11815022 (or 11815012 counting only the distinct ones).

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

The square root of 2268481344 is about 47628.5769680346. The cubic root of 2268481344 is about 1313.9486831544.

The spelling of 2268481344 in words is "two billion, two hundred sixty-eight million, four hundred eighty-one thousand, three hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 64 96 192 11815007 23630014 35445021 47260028 70890042 94520056 141780084 189040112 283560168 378080224 567120336 756160448 1134240672 2268481344