[go: up one dir, main page]

Search a number
-
+
1214198656 = 27116167211
BaseRepresentation
bin100100001011111…
…0011001110000000
310010121201200102121
41020113303032000
54441313324111
6320252254024
742042342526
oct11027631600
93117650377
101214198656
11573424470
1229a771314
13164726158
14b7388316
15718e2871
hex485f3380

1214198656 has 128 divisors (see below), whose sum is σ = 2735003520. Its totient is φ = 532224000.

The previous prime is 1214198639. The next prime is 1214198663. The reversal of 1214198656 is 6568914121.

It is a tau number, because it is divible by the number of its divisors (128).

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 15 ways as a sum of consecutive naturals, for example, 5754391 + ... + 5754601.

It is an arithmetic number, because the mean of its divisors is an integer number (21367215).

Almost surely, 21214198656 is an apocalyptic number.

1214198656 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1214198656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1367501760).

1214198656 is an abundant number, since it is smaller than the sum of its proper divisors (1520804864).

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

1214198656 is a wasteful number, since it uses less digits than its factorization.

1214198656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 364 (or 352 counting only the distinct ones).

The product of its digits is 103680, while the sum is 43.

The square root of 1214198656 is about 34845.3534348556. The cubic root of 1214198656 is about 1066.8333475636.

The spelling of 1214198656 in words is "one billion, two hundred fourteen million, one hundred ninety-eight thousand, six hundred fifty-six".

Divisors: 1 2 4 8 11 16 22 32 44 61 64 67 88 122 128 134 176 211 244 268 352 422 488 536 671 704 737 844 976 1072 1342 1408 1474 1688 1952 2144 2321 2684 2948 3376 3904 4087 4288 4642 5368 5896 6752 7808 8174 8576 9284 10736 11792 12871 13504 14137 16348 18568 21472 23584 25742 27008 28274 32696 37136 42944 44957 47168 51484 56548 65392 74272 85888 89914 94336 102968 113096 130784 141581 148544 155507 179828 205936 226192 261568 283162 297088 311014 359656 411872 452384 523136 566324 622028 719312 823744 862357 904768 1132648 1244056 1438624 1647488 1724714 1809536 2265296 2488112 2877248 3449428 4530592 4976224 5754496 6898856 9061184 9485927 9952448 13797712 18122368 18971854 19904896 27595424 37943708 55190848 75887416 110381696 151774832 303549664 607099328 1214198656