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1300212224 = 2917149381
BaseRepresentation
bin100110101111111…
…1010101000000000
310100121120121212022
41031133322220000
510130323242344
6333004021012
744135423123
oct11537725000
93317517768
101300212224
11607a32763
12303531768
131794b075c
14c49783ba
15792330ee
hex4d7faa00

1300212224 has 40 divisors (see below), whose sum is σ = 2750720148. Its totient is φ = 611860480.

The previous prime is 1300212223. The next prime is 1300212247. The reversal of 1300212224 is 4222120031.

It can be written as a sum of positive squares in 2 ways, for example, as 1051834624 + 248377600 = 32432^2 + 15760^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

It is not an unprimeable number, because it can be changed into a prime (1300212223) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 65987 + ... + 83394.

Almost surely, 21300212224 is an apocalyptic number.

It is an amenable number.

1300212224 is an abundant number, since it is smaller than the sum of its proper divisors (1450507924).

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

1300212224 is an equidigital number, since it uses as much as digits as its factorization.

1300212224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 149416 (or 149400 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 17.

The square root of 1300212224 is about 36058.4556518995. The cubic root of 1300212224 is about 1091.4522695125.

Adding to 1300212224 its reverse (4222120031), we get a palindrome (5522332255).

The spelling of 1300212224 in words is "one billion, three hundred million, two hundred twelve thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 17 32 34 64 68 128 136 256 272 512 544 1088 2176 4352 8704 149381 298762 597524 1195048 2390096 2539477 4780192 5078954 9560384 10157908 19120768 20315816 38241536 40631632 76483072 81263264 162526528 325053056 650106112 1300212224