[go: up one dir, main page]

Search a number
-
+
2247164320 = 25514044777
BaseRepresentation
bin1000010111110001…
…0000000110100000
312210121102202221011
42011330100012200
514100233224240
61010552310304
7106454403322
oct20574200640
95717382834
102247164320
11a535138a5
125286a2394
1329a73613b
14174637612
15d24366ea
hex85f101a0

2247164320 has 24 divisors (see below), whose sum is σ = 5308926084. Its totient is φ = 898865664.

The previous prime is 2247164303. The next prime is 2247164321. The reversal of 2247164320 is 234617422.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 2111953936 + 135210384 = 45956^2 + 11628^2 .

It is not an unprimeable number, because it can be changed into a prime (2247164321) 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, 7022229 + ... + 7022548.

Almost surely, 22247164320 is an apocalyptic number.

2247164320 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

2247164320 is an abundant number, since it is smaller than the sum of its proper divisors (3061761764).

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

2247164320 is a wasteful number, since it uses less digits than its factorization.

2247164320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14044792 (or 14044784 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 31.

The square root of 2247164320 is about 47404.2647870421. The cubic root of 2247164320 is about 1309.8199779816.

The spelling of 2247164320 in words is "two billion, two hundred forty-seven million, one hundred sixty-four thousand, three hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 80 160 14044777 28089554 56179108 70223885 112358216 140447770 224716432 280895540 449432864 561791080 1123582160 2247164320