Search a number
-
+
2230356144 = 24346465753
BaseRepresentation
bin1000010011110000…
…1000100010110000
312202102210211110010
42010330020202300
514031432344034
61005152134520
7106161500022
oct20474104260
95672724403
102230356144
11a44a83645
12522b37440
132970cc783
14172300012
15d0c163e9
hex84f088b0

2230356144 has 20 divisors (see below), whose sum is σ = 5761753496. Its totient is φ = 743452032.

The previous prime is 2230356143. The next prime is 2230356151. The reversal of 2230356144 is 4416530322.

It is not an unprimeable number, because it can be changed into a prime (2230356143) by changing a digit.

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 3 ways as a sum of consecutive naturals, for example, 23232829 + ... + 23232924.

Almost surely, 22230356144 is an apocalyptic number.

2230356144 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2230356144 is an abundant number, since it is smaller than the sum of its proper divisors (3531397352).

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

2230356144 is a wasteful number, since it uses less digits than its factorization.

2230356144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46465764 (or 46465758 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 30.

The square root of 2230356144 is about 47226.6465462031. The cubic root of 2230356144 is about 1306.5461031110.

Adding to 2230356144 its reverse (4416530322), we get a palindrome (6646886466).

The spelling of 2230356144 in words is "two billion, two hundred thirty million, three hundred fifty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 16 24 48 46465753 92931506 139397259 185863012 278794518 371726024 557589036 743452048 1115178072 2230356144