Search a number
-
+
1214801316 = 22323721572
BaseRepresentation
bin100100001101000…
…0110010110100100
310010122212022010100
41020122012112210
54441442120231
6320313224100
742050432541
oct11032062644
93118768110
101214801316
115737a6233
1229aa02030
131648a7561
14b74a3bc8
15719b11e6
hex486865a4

1214801316 has 81 divisors (see below), whose sum is σ = 3176213859. Its totient is φ = 391480128.

The previous prime is 1214801311. The next prime is 1214801323. The reversal of 1214801316 is 6131084121.

It is a happy number.

The square root of 1214801316 is 34854.

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

It can be written as a sum of positive squares in 4 ways, for example, as 69655716 + 1145145600 = 8346^2 + 33840^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 1214801316.

It is not an unprimeable number, because it can be changed into a prime (1214801311) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7737510 + ... + 7737666.

Almost surely, 21214801316 is an apocalyptic number.

1214801316 is the 34854-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214801316

1214801316 is an abundant number, since it is smaller than the sum of its proper divisors (1961412543).

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

1214801316 is a wasteful number, since it uses less digits than its factorization.

1214801316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 398 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 27.

The cubic root of 1214801316 is about 1067.0098237492.

Adding to 1214801316 its reverse (6131084121), we get a palindrome (7345885437).

The spelling of 1214801316 in words is "one billion, two hundred fourteen million, eight hundred one thousand, three hundred sixteen".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 148 157 222 314 333 444 471 628 666 942 1332 1369 1413 1884 2738 2826 4107 5476 5652 5809 8214 11618 12321 16428 17427 23236 24642 24649 34854 49284 49298 52281 69708 73947 98596 104562 147894 209124 214933 221841 295788 429866 443682 644799 859732 887364 912013 1289598 1824026 1934397 2579196 2736039 3648052 3868794 5472078 7737588 8208117 10944156 16416234 32832468 33744481 67488962 101233443 134977924 202466886 303700329 404933772 607400658 1214801316