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214218025112 = 237131999191609
BaseRepresentation
bin1100011110000001100…
…0111010100010011000
3202110221020000012022002
43013200120322202120
512002204303300422
6242224351420132
721322344112160
oct3074030724230
9673836005262
10214218025112
1182938543983
1235625224648
131727bb568a0
14a52250d5a0
15588b7c2692
hex31e063a898

214218025112 has 128 divisors (see below), whose sum is σ = 497683200000. Its totient is φ = 84175635456.

The previous prime is 214218025097. The next prime is 214218025199. The reversal of 214218025112 is 211520812412.

It is a super-2 number, since 2×2142180251122 (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 133136564 + ... + 133138172.

It is an arithmetic number, because the mean of its divisors is an integer number (3888150000).

Almost surely, 2214218025112 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 214218025112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248841600000).

214218025112 is an abundant number, since it is smaller than the sum of its proper divisors (283465174888).

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

214218025112 is a wasteful number, since it uses less digits than its factorization.

214218025112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2753 (or 2749 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 29.

Adding to 214218025112 its reverse (211520812412), we get a palindrome (425738837524).

The spelling of 214218025112 in words is "two hundred fourteen billion, two hundred eighteen million, twenty-five thousand, one hundred twelve".

Divisors: 1 2 4 7 8 13 14 26 28 52 56 91 104 182 199 364 398 728 796 919 1393 1592 1609 1838 2587 2786 3218 3676 5174 5572 6433 6436 7352 10348 11144 11263 11947 12866 12872 18109 20696 20917 22526 23894 25732 36218 41834 45052 47788 51464 72436 83629 83668 90104 95576 144872 146419 167258 167336 182881 292838 320191 334516 365762 585676 640382 669032 731524 1171352 1280167 1280764 1463048 1478671 2241337 2377453 2560334 2561528 2957342 4162483 4482674 4754906 5120668 5914684 8324966 8965348 9509812 10241336 10350697 11829368 16642171 16649932 17930696 19019624 19222723 20701394 29137381 33284342 33299864 38445446 41402788 58274762 66568684 76890892 82805576 116549524 133137368 134559061 153781784 233099048 269118122 294255529 538236244 588511058 1076472488 1177022116 2059788703 2354044232 3825321877 4119577406 7650643754 8239154812 15301287508 16478309624 26777253139 30602575016 53554506278 107109012556 214218025112