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1320014224 = 243122932
BaseRepresentation
bin100111010101101…
…1101000110010000
310101222211200002201
41032223131012100
510200410423344
6334552252544
744465635654
oct11653350620
93358750081
101320014224
11618128251
1230a0a1154
13180624a09
14c7450a64
157ad454d4
hex4eadd190

1320014224 has 45 divisors (see below), whose sum is σ = 2651739969. Its totient is φ = 636536640.

The previous prime is 1320014209. The next prime is 1320014233. The reversal of 1320014224 is 4224100231.

The square root of 1320014224 is 36332.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1248915600 + 71098624 = 35340^2 + 8432^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 4505022 + ... + 4505314.

Almost surely, 21320014224 is an apocalyptic number.

1320014224 is the 36332-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1320014224

1320014224 is an abundant number, since it is smaller than the sum of its proper divisors (1331725745).

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

1320014224 is an frugal number, since it uses more digits than its factorization.

1320014224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 656 (or 326 counting only the distinct ones).

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

The cubic root of 1320014224 is about 1096.9652506688.

Adding to 1320014224 its reverse (4224100231), we get a palindrome (5544114455).

The spelling of 1320014224 in words is "one billion, three hundred twenty million, fourteen thousand, two hundred twenty-four".

Divisors: 1 2 4 8 16 31 62 124 248 293 496 586 961 1172 1922 2344 3844 4688 7688 9083 15376 18166 36332 72664 85849 145328 171698 281573 343396 563146 686792 1126292 1373584 2252584 2661319 4505168 5322638 10645276 21290552 42581104 82500889 165001778 330003556 660007112 1320014224