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1214525312 = 27711139479
BaseRepresentation
bin100100001100100…
…0010111110000000
310010122100021111222
41020121002332000
54441404302222
6320303254212
742045203060
oct11031027600
93118307458
101214525312
11573627930
1229a8aa368
1316480ba40
14b74313a0
1571959542
hex48642f80

1214525312 has 128 divisors (see below), whose sum is σ = 3248985600. Its totient is φ = 436746240.

The previous prime is 1214525287. The next prime is 1214525317. The reversal of 1214525312 is 2135254121.

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

It is a Harshad number since it is a multiple of its sum of digits (26).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1214525317) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 123389 + ... + 132867.

It is an arithmetic number, because the mean of its divisors is an integer number (25382700).

Almost surely, 21214525312 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 1214525312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1624492800).

1214525312 is an abundant number, since it is smaller than the sum of its proper divisors (2034460288).

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

1214525312 is a wasteful number, since it uses less digits than its factorization.

1214525312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9524 (or 9512 counting only the distinct ones).

The product of its digits is 2400, while the sum is 26.

The square root of 1214525312 is about 34850.0403443095. The cubic root of 1214525312 is about 1066.9290090837.

Adding to 1214525312 its reverse (2135254121), we get a palindrome (3349779433).

The spelling of 1214525312 in words is "one billion, two hundred fourteen million, five hundred twenty-five thousand, three hundred twelve".

Divisors: 1 2 4 7 8 11 13 14 16 22 26 28 32 44 52 56 64 77 88 91 104 112 128 143 154 176 182 208 224 286 308 352 364 416 448 572 616 704 728 832 896 1001 1144 1232 1408 1456 1664 2002 2288 2464 2912 4004 4576 4928 5824 8008 9152 9479 9856 11648 16016 18304 18958 32032 37916 64064 66353 75832 104269 123227 128128 132706 151664 208538 246454 265412 303328 417076 492908 530824 606656 729883 834152 862589 985816 1061648 1213312 1355497 1459766 1668304 1725178 1971632 2123296 2710994 2919532 3336608 3450356 3943264 4246592 5421988 5839064 6673216 6900712 7886528 8493184 9488479 10843976 11678128 13346432 13801424 15773056 18976958 21687952 23356256 27602848 37953916 43375904 46712512 55205696 75907832 86751808 93425024 110411392 151815664 173503616 303631328 607262656 1214525312