Search a number
-
+
1314055224 = 23348392417
BaseRepresentation
bin100111001010010…
…1110010000111000
310101120121220220000
41032110232100320
510142344231344
6334220433000
744364166536
oct11624562070
93346556800
101314055224
11614828159
123080a8760
1317c319591
14c673d156
157a569a69
hex4e52e438

1314055224 has 80 divisors (see below), whose sum is σ = 3686482800. Its totient is φ = 437315328.

The previous prime is 1314055199. The next prime is 1314055247. The reversal of 1314055224 is 4225504131.

1314055224 is a `hidden beast` number, since 1 + 31 + 405 + 5 + 224 = 666.

It is a super-2 number, since 2×13140552242 = 3453482263443380352, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 542464 + ... + 544880.

It is an arithmetic number, because the mean of its divisors is an integer number (46081035).

Almost surely, 21314055224 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 1314055224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1843241400).

1314055224 is an abundant number, since it is smaller than the sum of its proper divisors (2372427576).

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

1314055224 is a wasteful number, since it uses less digits than its factorization.

1314055224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3274 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 4800, while the sum is 27.

The square root of 1314055224 is about 36249.8996412404. The cubic root of 1314055224 is about 1095.3120671815.

Adding to 1314055224 its reverse (4225504131), we get a palindrome (5539559355).

The spelling of 1314055224 in words is "one billion, three hundred fourteen million, fifty-five thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 36 54 72 81 108 162 216 324 648 839 1678 2417 2517 3356 4834 5034 6712 7251 7551 9668 10068 14502 15102 19336 20136 21753 22653 29004 30204 43506 45306 58008 60408 65259 67959 87012 90612 130518 135918 174024 181224 195777 261036 271836 391554 522072 543672 783108 1566216 2027863 4055726 6083589 8111452 12167178 16222904 18250767 24334356 36501534 48668712 54752301 73003068 109504602 146006136 164256903 219009204 328513806 438018408 657027612 1314055224