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214532235412 = 221161131691883
BaseRepresentation
bin1100011111001100011…
…1100010000010010100
3202111202010020201210121
43013303013202002110
512003330223013122
6242315454201324
721333210625165
oct3076307420224
9674663221717
10214532235412
1182a89943810
12356b24b3244
13172cbc8b741
14a55214176c
1558a918bbc7
hex31f31e2094

214532235412 has 96 divisors (see below), whose sum is σ = 420536083968. Its totient is φ = 94938480000.

The previous prime is 214532235367. The next prime is 214532235413.

214532235412 is nontrivially palindromic in base 10.

214532235412 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (214532235413) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 242957923 + ... + 242958805.

It is an arithmetic number, because the mean of its divisors is an integer number (4380584208).

Almost surely, 2214532235412 is an apocalyptic number.

214532235412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214532235412 is a deficient number, since it is larger than the sum of its proper divisors (206003848556).

214532235412 is a wasteful number, since it uses less digits than its factorization.

214532235412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1779 counting only the distinct ones).

The product of its digits is 57600, while the sum is 34.

It can be divided in two parts, 214532 and 235412, that added together give a palindrome (449944).

The spelling of 214532235412 in words is "two hundred fourteen billion, five hundred thirty-two million, two hundred thirty-five thousand, four hundred twelve".

Divisors: 1 2 4 11 22 44 61 122 131 244 262 524 671 691 883 1342 1382 1441 1766 2684 2764 2882 3532 5764 7601 7991 9713 15202 15982 19426 30404 31964 38852 42151 53863 84302 87901 90521 107726 115673 168604 175802 181042 215452 231346 351604 362084 462692 463661 592493 610153 927322 995731 1184986 1220306 1272403 1854644 1991462 2369972 2440612 2544806 3982924 5089612 5521781 6711683 7056053 11043562 13423366 14112106 22087124 26846732 28224212 37219333 60739591 74438666 77616583 79930043 121479182 148877332 155233166 159860086 242958364 310466332 319720172 409412663 818825326 879230473 1637650652 1758460946 3516921892 4875732623 9751465246 19502930492 53633058853 107266117706 214532235412