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1314020224 = 27112114423
BaseRepresentation
bin100111001010010…
…0101101110000000
310101120120010212201
41032110211232000
510142342121344
6334220002544
744363662516
oct11624455600
93346503781
101314020224
11614803930
12308090454
1317c30667a
14c67304b6
157a55e4d4
hex4e525b80

1314020224 has 64 divisors (see below), whose sum is σ = 2869937280. Its totient is φ = 594316800.

The previous prime is 1314020209. The next prime is 1314020231. The reversal of 1314020224 is 4220204131.

It is a tau number, because it is divible by the number of its divisors (64).

It is a congruent number.

It is an unprimeable number.

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 7 ways as a sum of consecutive naturals, for example, 294877 + ... + 299299.

It is an arithmetic number, because the mean of its divisors is an integer number (44842770).

Almost surely, 21314020224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1314020224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1434968640).

1314020224 is an abundant number, since it is smaller than the sum of its proper divisors (1555917056).

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

1314020224 is a wasteful number, since it uses less digits than its factorization.

1314020224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4659 (or 4647 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 19.

The square root of 1314020224 is about 36249.4168780685. The cubic root of 1314020224 is about 1095.3023425109.

Adding to 1314020224 its reverse (4220204131), we get a palindrome (5534224355).

The spelling of 1314020224 in words is "one billion, three hundred fourteen million, twenty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 22 32 44 64 88 128 176 211 352 422 704 844 1408 1688 2321 3376 4423 4642 6752 8846 9284 13504 17692 18568 27008 35384 37136 48653 70768 74272 97306 141536 148544 194612 283072 297088 389224 566144 778448 933253 1556896 1866506 3113792 3733012 6227584 7466024 10265783 14932048 20531566 29864096 41063132 59728192 82126264 119456384 164252528 328505056 657010112 1314020224