Search a number
-
+
214402204412 = 2211195930714159
BaseRepresentation
bin1100011110101101011…
…1100000001011111100
3202111102001120110210122
43013223113200023330
512003043431020122
6242254531154112
721330041445104
oct3075327401374
9674361513718
10214402204412
1182a22500580
1235676a45938
13172ab061b16
14a53cb74204
15589ca54142
hex31eb5e02fc

214402204412 has 96 divisors (see below), whose sum is σ = 439617024000. Its totient is φ = 90459426240.

The previous prime is 214402204351. The next prime is 214402204453.

It is a happy number.

214402204412 is nontrivially palindromic in base 10.

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, 15135389 + ... + 15149547.

It is an arithmetic number, because the mean of its divisors is an integer number (4579344000).

Almost surely, 2214402204412 is an apocalyptic number.

214402204412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214402204412 is an abundant number, since it is smaller than the sum of its proper divisors (225214819588).

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

214402204412 is a wasteful number, since it uses less digits than its factorization.

214402204412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14559 (or 14557 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 26.

It can be divided in two parts, 214402 and 204412, that added together give a palindrome (418814).

The spelling of 214402204412 in words is "two hundred fourteen billion, four hundred two million, two hundred four thousand, four hundred twelve".

Divisors: 1 2 4 11 19 22 38 44 59 76 118 209 236 307 418 614 649 836 1121 1228 1298 2242 2596 3377 4484 5833 6754 11666 12331 13508 14159 18113 23332 24662 28318 36226 49324 56636 64163 72452 128326 155749 199243 256652 269021 311498 344147 398486 538042 622996 688294 796972 835381 1076084 1376588 1670762 2959231 3341524 3785617 4346813 5918462 7571234 8693626 9189191 11836924 15142468 15872239 17387252 18378382 31744478 36756764 47814943 63488956 82589447 95629886 165178894 174594629 191259772 256461967 330357788 349189258 512923934 698378516 908483917 1025847868 1816967834 2821081637 3633935668 4872777373 5642163274 9745554746 11284326548 19491109492 53600551103 107201102206 214402204412