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1214140224 = 263114671231
BaseRepresentation
bin100100001011110…
…0100111101000000
310010121121201021110
41020113210331000
54441304441344
6320251123320
742042010263
oct11027447500
93117551243
101214140224
11573394580
1229a743540
1316470568b
14b7370cda
15718d03b9
hex485e4f40

1214140224 has 112 divisors (see below), whose sum is σ = 3514807296. Its totient is φ = 366835200.

The previous prime is 1214140199. The next prime is 1214140229. The reversal of 1214140224 is 4220414121.

It is a self number, because there is not a number n which added to its sum of digits gives 1214140224.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214140229) by changing a digit.

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, 985689 + ... + 986919.

It is an arithmetic number, because the mean of its divisors is an integer number (31382208).

Almost surely, 21214140224 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 1214140224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1757403648).

1214140224 is an abundant number, since it is smaller than the sum of its proper divisors (2300667072).

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

1214140224 is a wasteful number, since it uses less digits than its factorization.

1214140224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1724 (or 1714 counting only the distinct ones).

The product of its (nonzero) digits is 512, while the sum is 21.

The square root of 1214140224 is about 34844.5149772529. The cubic root of 1214140224 is about 1066.8162338879.

Adding to 1214140224 its reverse (4220414121), we get a palindrome (5434554345).

The spelling of 1214140224 in words is "one billion, two hundred fourteen million, one hundred forty thousand, two hundred twenty-four".

Divisors: 1 2 3 4 6 8 11 12 16 22 24 32 33 44 48 64 66 88 96 132 176 192 264 352 467 528 704 934 1056 1231 1401 1868 2112 2462 2802 3693 3736 4924 5137 5604 7386 7472 9848 10274 11208 13541 14772 14944 15411 19696 20548 22416 27082 29544 29888 30822 39392 40623 41096 44832 54164 59088 61644 78784 81246 82192 89664 108328 118176 123288 162492 164384 216656 236352 246576 324984 328768 433312 493152 574877 649968 866624 986304 1149754 1299936 1724631 2299508 2599872 3449262 4599016 6323647 6898524 9198032 12647294 13797048 18396064 18970941 25294588 27594096 36792128 37941882 50589176 55188192 75883764 101178352 110376384 151767528 202356704 303535056 404713408 607070112 1214140224