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214338833412 = 223112293770793
BaseRepresentation
bin1100011110011110010…
…1110000110000000100
3202111020122022220010120
43013213211300300010
512002431220132122
6242244345021540
721325342011024
oct3074745606004
9674218286116
10214338833412
118299a757a50
12356597848b0
131729aba46a2
14a534599a84
1558971d775c
hex31e7970c04

214338833412 has 48 divisors (see below), whose sum is σ = 545621251392. Its totient is φ = 64947412480.

The previous prime is 214338833329. The next prime is 214338833413.

214338833412 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×2143388334122 (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (214338833413) 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 15 ways as a sum of consecutive naturals, for example, 2992288 + ... + 3063080.

It is an arithmetic number, because the mean of its divisors is an integer number (11367109404).

Almost surely, 2214338833412 is an apocalyptic number.

214338833412 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

214338833412 is an abundant number, since it is smaller than the sum of its proper divisors (331282417980).

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

214338833412 is a wasteful number, since it uses less digits than its factorization.

214338833412 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 93748 (or 93746 counting only the distinct ones).

The product of its digits is 331776, while the sum is 42.

The spelling of 214338833412 in words is "two hundred fourteen billion, three hundred thirty-eight million, eight hundred thirty-three thousand, four hundred twelve".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 22937 45874 68811 70793 91748 137622 141586 212379 252307 275244 283172 424758 504614 756921 778723 849516 1009228 1513842 1557446 2336169 3027684 3114892 4672338 9344676 1623779041 3247558082 4871337123 6495116164 9742674246 17861569451 19485348492 35723138902 53584708353 71446277804 107169416706 214338833412