Search a number
-
+
2249658768 = 24376695413
BaseRepresentation
bin1000011000010111…
…0001000110010000
312210210010111200010
42012011301012100
514101403040033
61011121554520
7106514532630
oct20605610620
95723114603
102249658768
11a54967a25
125294a5a40
1329b0ca646
14174ac66c0
15d277a863
hex86171190

2249658768 has 40 divisors (see below), whose sum is σ = 6641850688. Its totient is φ = 642759552.

The previous prime is 2249658751. The next prime is 2249658791. The reversal of 2249658768 is 8678569422.

It is a happy 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, 3347371 + ... + 3348042.

Almost surely, 22249658768 is an apocalyptic number.

2249658768 is a gapful number since it is divisible by the number (28) formed by its first and last digit.

It is an amenable number.

2249658768 is an abundant number, since it is smaller than the sum of its proper divisors (4392191920).

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

2249658768 is a wasteful number, since it uses less digits than its factorization.

2249658768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6695431 (or 6695425 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 57.

The square root of 2249658768 is about 47430.5678650383. The cubic root of 2249658768 is about 1310.3044507311.

The spelling of 2249658768 in words is "two billion, two hundred forty-nine million, six hundred fifty-eight thousand, seven hundred sixty-eight".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 42 48 56 84 112 168 336 6695413 13390826 20086239 26781652 40172478 46867891 53563304 80344956 93735782 107126608 140603673 160689912 187471564 281207346 321379824 374943128 562414692 749886256 1124829384 2249658768